Singapore Math

The main feature of this series is the use of the Concrete, Pictorial, Abstract approach. The students are provided with the necessary learning experiences beginning with the concrete and pictorial stages, followed by the abstract stage to enable them to learn mathematics meaningfully. This approach encourages active thinking process, communication of mathematical ideas and problem solving. This helps develop the foundation students will need for more advanced mathematics.

Singapore Math Placement Tests

The Singapore Math story

"Singapore Math"

The term, "Singapore Math", came into use in the U.S.A. around the year 2000 when US academics, homeschoolers, schools and the media started referring to our books as Singapore Math. The term Singapore Math is not used in Singapore, where they just use the term maths (what other math would they be using!) In 2001, we incorporated our company under the name SingaporeMath.com Inc.

Primary Mathematics Series

The term "Singapore Math", as used in the U.S.A. and Canada generally refers to the Primary Mathematics series. The Primary Mathematics Series was first published in 1982 and was the only series used in Singapore primary schools up till 2001. Primary Mathematics was written by members of a project team put together by the Ministry of Education, Singapore.

Primary Mathematics U.S. Edition

Is this the most popular Singapore Math series used in the U.S.A.?
Yes. The Primary Mathematics series is the most popular Singapore program used in the U.S.A. homes and schools.

Series description

The Primary Mathematics U.S. Edition series of elementary math textbooks and workbooks is meant to be part of a system of learning in which adult supervision and independent practice go hand in hand. The main feature of this series is the use of the Concrete

-Pictorial-Abstract approach. The students are provided with the necessary learning experiences beginning with the concrete and pictorial stages, followed by the abstract stage to enable them to learn mathematics meaningfully. This approach encourages active thinking process, communication of mathematical ideas and problem solving. This helps develop the foundation students will need for more advanced mathematics.

Practice exercises are designed to provide the students with further practice after they have done the relevant workbook exercises. Review exercises are provided for cumulative reviews of concepts and skills. All the practice exercises and review exercises are optional exercises.

The color patch is used to invite active participation from the students and to facilitate oral discussion. The students are advised not to write on the color patches.

Above extract from Preface of Primary Mathematics U.S. Edition (reproduced with the permission of the publishers).

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Primary Mathematics Teacher Guides provide, in both flexibility and detail, a clear framework for the Primary Mathematics textbooks. Each lesson is accompanied by numerous activities which expand and reinforce the concepts for that lesson and which are designed to fit both teachers who wish to adapt lessons to their own classroom situation, and teachers who desire easy-to-follow, effective teaching strategies. Through the notes to the teacher and the detailed objectives for each learning task in the text and activity in the guide, these Teacher Guides help teachers to fully understand the purpose and concept behind each set of problems, both within the context of the unit and the context of the overall curriculum. The teacher's guide contains answers for the textbooks and workbooks.

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The Home Instructor's Guide is meant as a guide for instructors using Primary Mathematics when teaching one student or a small group of students. It contains notes to the instructor, answers to the textbook learning tasks, practices, and reviews, answers and solutions to the workbook exercises and reviews, and optional activities, games and discussions to use in presenting the concepts. The pages in the appendix may be reproduced for individual use. A suggested schedule is included, using textbook practices and reviews for review rather than as they appear in the textbook.

This guide is divided into sections. Each section can be considered a lesson and may contain:

	concepts being taught in that section
	notes to the instructor
	activities using manipulatives
	discussion questions or other activities pertinent to the concepts being learned
	suggested games to reinforce concepts
	corresponding coursebook pages and learning tasks for the lesson, to be discussed with the student
	answers to the learning tasks
	answers to the corresponding workbook exercises
	solutions to most textbook and workbook problems

Above extract from Preface of Home Instructor's Guide (reproduced with the permission of the publishers).

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The Answer Key Booklet contains answers for Primary Mathematics textbooks and workbooks.

PMAK1-3 - This answer key booklet contains answers for Primary Mathematics textbooks and workbooks from Primary 1 through Primary 3.

PMAK4-6 - This answer key booklet contains answers for Primary Mathematics textbooks and workbooks from Primary 4 through Primary 6.

Note: Answers or answer keys are found in the teacher's guides and home instructor's guides. If you are purchasing these guides, you may not need the answer key booklets.

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The Primary Mathematics U.S. Edition curriculum is published in semester sets. Two semester sets make one year of study (eg.1A and 1B are for one year of Primary 1). The following are available for each semester of Primary Mathematics U.S. Edition series :

	1 textbook
	1 workbook
	Teacher's Guides for 1A, 1B, 2A, 2B, 3A, 3B, 4A and 4B. Other levels will follow.
	Home Instructor Guides for 2A - 6B.
	Answer key booklet for 1A-3B and 4A-6B.

Supplementary books - Please note that we carry a selection of supplementary mathematics titles. These supplementary titles are useful for students who need extra practice beyond those provided in the coursebooks and workbooks.

Fun CD-ROMs are also available for this series. Users of the Primary Mathematics U.S. Edition Series can use our CD-ROMs chart to guide them to the appropriate section of the CD-ROMs.

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Our special thanks to Richard Askey, Professor of Mathematics (University of Wisconsin, Madison), Yoram Sagher, Professor of Mathematics (University of Illinois, Chicago), and Madge Goldman, President (Gabriella and Paul Rosenbaum Foundation), for their indispensable advice and suggestions in the production of the Primary Mathematics U.S. Edition.

Our recommendation:

Primary Mathematics U.S. Edition is ideal for both classroom and home use for 1st - 7th grades. This is the most popular primary math series used by schools and homeschoolers in the U.S. and Canada.

Recommended for those who want a solid, basic math program with a proven track record and an emphasis on concept development, mental techniques, and problem solving. This is primarily a direct instruction program but students are given several approaches for solving problems and are encouraged to discuss ideas and explore additional methods.

Teacher's Guides are best suited for classroom use. Some school teachers use the Home Guides too, because there are solutions in the Guides.

Home Guides are best suited for home use.

How many books/sets are used in the program?
The Primary Mathematics U.S. Edition Series consists of twelve sets - two sets at each grade level. These two sets represent the first and second semester of each level. Each set consists of 1 textbook and 1 workbook.
To Order.
Do we need both the textbook and the workbook?
Yes, you do. Learning tasks and activities (class work) are present in the textbook, and exercises (independent work) are present in the workbook.
Areanswer keys available for the U.S. Edition series?
Yes. Answer keys booklets are available for all the textbooks and workbooks. These come in separate booklets - one for Primary 1-3 and one for Primary 4-6. Answers or answer keys are found in the teacher's guides and home instructor's guides. If you are purchasing these guides, you may not need the answer key booklets.
Are Teacher's Guides available for the U.S. Edition series?
Yes. Teacher's Guides 1A, 1B, 2A, 2B, 3A, 3B, 4A and 4B are available. Targeted dates for Teacher's Guides: 5A - June 2005, 5B - July 2005.
What other teacher resources are available for the U.S. Edition series?
Home Instructor's Guides for 2A, 2B, 3A, 3B, 4A, 4B, 5A, 5B, 6A and 6B are available and can be used with both the 3rd and U.S. editions.

What is the difference between the Primary Mathematics Teacher's Guides and Home Instructor's Guides?
The difference is shown in the summary chart below:

Teacher's Guides	Home Instructor's Guides
To use in implementing Primary Mathematics in a classroom situation.	To use in implementing Primary Mathematics with one or a few students.
Currently available for 1A-4B. All levels anticipated to be available by summer 2005. For use with the U.S. edition of Primary Mathematics. 1A, 3B, 4A and 4B can be used with both U.S. and 3rd editions. 1A-1B published by the Rosenbaum Foundation. Later levels are published by Singaporemath.com.	Currently available for 2A-6B. For use with the U.S. edition and 3rd edition of Primary Mathematics. Published by Sonlight Curriculum.
One guide for each semester.	One guide for each semester.
Levels 1A-1B have a teaching activity sequence listing the activities from the guide and the corresponding textbook and workbook pages. There are 68 activities in 1A and 54 in 1B. Levels 2A and up have a unit plan for each unit in the text divided up into sections which list the objectives to be covered for each section and the corresponding activities from the guide, pages from the textbook, and exercises from the workbook. There are a total of 80 sections with 1-3 activities each.	Each guide has a weekly schedule for 17-18 weeks which lists the unit and section from the textbook to be covered that week and corresponding lessons from the guide and exercises from the workbook. There are 2-5 lessons for each week. The additional days of the week are left for the textbook and workbook reviews.
Levels 2A and up contain notes to the instructor for each chapter from the text explaining the mathematical concepts for that chapter and how it fits in with the rest of the curriculum.	Each lesson or section contains notes to the instructor explaining the mathematical concepts for that lesson and how the it fits in with the rest of the curriculum.
Objectives and materials are listed for each chapter. Levels 1A-1B also lists key words. Levels 2A and up also give objectives for each activity. The main activity in levels 2A and up for each of the 80 sections is generally a 30-40 minute teaching/class activity involving demonstration, class participation and discussion, and learning tasks from the textbook. Additional activities include group activities or games to reinforce the concepts and which can be used that day or any succeeding day for review.	Objectives are given for each lesson. The lesson consists of several teaching activities introducing the concepts from the text, primarily using concrete objects at the lower levels and sometimes including games, followed by the tasks from the textbook, and sometimes followed by additional suggested games or activities to reinforce the concepts or to practice math facts. There are occasional optional enrichment activities and additional instruction on mental math strategies.
Has an answer key (but no solutions) to all textbook learning tasks, practices and reviews, and workbook exercises and reviews.	Has answers to all and solutions to most textbook learning tasks, practices and reviews and workbook exercises and reviews.
	Levels 2A-4B have additional mental math exercises for practice in math facts and mental math strategies.

Do you have placement tests for Primary Mathematics U.S. Edition Series?
Yes. Please go to Placement tests.
Do you have sample pages of the U.S. Edition for review?
Samples.
Do you have contents of the U.S. Edition for each level?
Contents of Primary Mathematics U.S. Edition for each level.
Do you have a scope and sequence chart for this series?
Yes. Please go to Scope and Sequence.
How do I know where to place my child?
Please make use of placement tests, sample pages and contents to help with your decision making. We also have a forum where you can share similar concerns. Click here for a quick guideline to placement.
Are there any tutoring services for the Primary Mathematics Series?
QuestationMath.com, a Singapore based e-learning provider offers online math tutoring by highly qualified Singapore tutors. Parents who do not have the time, or who are looking for interactive help in teaching Singapore math may find this new service a valuable supplement.
Can we use the Primary Mathematics Series for enrichment?
Yes. Please refer to enrichment for more information.
We plan to start using Singapore Math - which edition should we use?
If you are new to the program, we suggest you start with the U.S. Edition. The addition of customary measurement chapters and the use of U.S. currency in the U.S. Edition make this series complete and teachers will no longer need to find supplements for these areas. Future teacher's guides and manuals will be written based on the U.S. Edition. We also have quick guide for new users.
We are currently using Primary Mathematics 3rd Edition - should we switch to the U.S. Edition?
We strongly encourage you to switch if you have not already purchased books for all the levels. Whatever is found in the 3rd edition is in the U.S. Edition. The addition of customary U.S. measurement instruction, and the use of U.S. currency in the U.S. Edition make this series complete and teachers will no longer need to find supplements for these areas.
Would there be any reasons for current users to stay with the 3rd Edition?
If you were planning to re-use the course book with another child, and only need additional workbooks, it would be a good reason to stay with the 3rd Edition. Please look at our U.S. Edition content page to see what additional units were added to each level. This information may be helpful for you in deciding whether or not to replace your existing books with the U.S. Edition books.

Canadian customers who prefer British spellings, and do not mind pictures and denominations of Singapore currency used in the 3rd Edition may want to stay with the 3rd Edition. (Please note that the metric system material found in the 3rd Edition has not been removed from the U.S. Edition).
Where can I find more practice exercises?
We have supplement books for Primary 1-6 that provide ample practice exercises (answers provided). These books are written in accordance with the Primary Mathematics syllabus, and can be used with both Primary Mathematics 3rd Edition and Primary Mathematics U.S. Edition.
Will there be U.S. editions of supplementary books?
Yes, these are now available. FAQ.
Do you carry manipulatives?
We carry manipulatives for homeschoolers and manipulatives for schools.
What if I encounter problems when we have already started using these books?
You are welcome to visit our forum for online help.
Can we use our existing 3rd Edition coursebook with the new workbooks?
You can, but there will be some discrepancy in workbook exercise numbers in the go-to workbook exercise flags in the 2A, 3B and 6B textbooks. Exercise 28 from the 3rd edition has been combined with Exercise 27. A new exercise on customary measures was inserted into the 2A workbook. Four extra exercises on customary measures were inserted into the 3B workbook. Extra exercises on division by a fraction were inserted in the 6B workbook.

How didthe Primary Mathematics U.S. Edition come about?
This is the story .....

Why did we produce a U.S. Edition based upon Primary Mathematics?
The Primary Mathematics series was written in 1982 by the Primary Mathematics Project Team, appointed by the Curriculum Planning and Development Division of the Ministry of Education (MOE), Singapore. Over the past twenty years, this series has been identified with excellence and achievement in Singapore's primary school mathematics curriculum, culminating in Singapore students' success in the 1995, 1999 and 2003 TIMSS (Trends for International Mathematics and Science Study) studies.

Although new series have appeared in Singapore in recent years, they are not projects undertaken by the MOE itself. While the contents of the new series are almost identical to that of the Primary Mathematics series, the new series lack consistent and coherent incremental development of some concepts. Three of the six new series have not made it past the third year (Primary Three) of publication.

We have also consulted with top mathematicians in the U.S. who have been advocating 'back to basic" mathematics over the past two decades. They appreciate the concepts developed in the Primary Mathematics series, and without exception endorse it over the new series. This is the strongest argument that convinced us to go with the Primary Mathematics series for adaptation to a U.S. Edition.

In addition, the opening of the math book market in Singapore is not the result of changes to the basic mathematics curriculum, but instead a reflection of a move toward national education. As a result, the latest math series in Singapore all contain more in the way of culture specific elements, making them less suitable candidates for adaptation.

To Order To Order Primary Mathematics U.S. Edition.

Which text is the U.S. Edition based on?
The U.S. Edition is based on the 3rd (latest) Edition of the Singapore Primary Mathematics Series. The teaching methods and concepts used in the 3rd Edition have not been changed nor modified in the U.S. Edition.

Is the U.S. Edition approved by the Ministry of Education of Singapore?
Yes. The U.S. Edition is published with the approval of the Ministry of Education of Singapore.

Were any of the existing chapters removed from the 3rd Edition?
No. None of the existing chapters were removed. None of the existing metric measurement materials were removed.

In the production of the U.S. Edition, what kind of changes were made to the original Primary Mathematics Series?
The following changes were made to the 3rd Edition of Primary Mathematics:

Cosmetic Changes: Most (but not all) of the local names and terms used for people, food and things have been changed. Some of the pictures have been changed.
Examples: Mrs Raju to Mrs. Gray, Chengfa to Jordan, pupils to students, biscuits to cookies, fishball to meatball, petrol to gas, spectacles to glasses, revision to review, breadth to width, coursebook to textbook.

Spelling Changes: British spellings were changed to American spellings.
Examples: colour to color, neighbour to neighbor, programme to program, centre to center, practise to practice, metre to meter, litre to liter.

Conventional Changes:

On salutation - Mr and Mrs changed to Mr. and Mrs.

On time - 11.00 changed to 11:00 (Singapore does not use the colon when writing out time).

On numeral in figures - 56 700 changed to 56,700 (Singapore does not use the comma in numerals).

On numeral in words - "two thousand, one hundred and sixty three" changed to "two thousand, one hundred sixty three" (in keeping with the latest convention in the U.S.A.)

Currency Changes:

All Singapore currency has been replaced with U.S. currency (click to view sample).

Terms like '$10 note" have been changed to "$10 bill".

Package Changes: Instead of having two workbooks for each semester, we combined workbooks Part 1 and Part 2 into one workbook.
Example: 2B will consist of one 2B textbook and one 2B workbook(instead of one 2B textbook and two 2B workbooks - one 2B Part 1 and One 2B Part 2).

In the production of the U.S. Edition, what kind of additionswere made to the original Primary Mathematics Series?
The following additionswere made to the 3rd Edition of Primary Mathematics:

U.S. customary measurements:

1. Whole sessions of learning tasks on weight, length and capacity were added to the following levels:

	Primary 2A: Weight and Length (click to view sample)
	Primary 2B: Capacity (click to view sample)
	Primary 3B: Weight, Length and Capacity (click to view sample)

2. Primary Math 5A textbook includes conversions within the standard U.S. measurement system, and some additional problems involving unit conversions.

Note: None of the existing metric measurement materials from the 3rd Edition were removed. U.S. customary measurement materials were added.

Division of Fractions: The chapter on "Division of Fractions", included in the 2nd Edition of Primary Mathematics but not the 3rd Edition, now re-appears in 6B of the U.S. Edition.

Review and workbook exercises:

1. Primary 2B, 3B, 5A, 5B, 6A and 6B textbooks will each have an additional review exercise (on U.S. customary measurements - weight, length and capacity).

2. Primary Math 3B workbook will have four extra sets of exercises on U.S. customary measurements. Primary Math 1B, 2B, 3B, 4B and 6B workbooks will have a few extra problems (added at the end of the workbook) on U.S. customary measurements and currency.

Were any of the existing teaching methods found in the original Primary Mathematics Series changed?
No. The strength of the Primary Mathematics Series teaching methods lies in their strikingly clear, simple explanations of math concepts. None of these was changed.

How were the U.S. customary measurement materials incorporated into the existing metric measurement materials?
1. In Primary 2 and 3, U.S. customary measurement is taught in separate sessions which are devoted only to the introduction of the U.S. customary measurements. We have chosen not to mix the teaching of the two measurement systems in the same session for the following reasons.

	to avoid confusing the students.
	to avoid cluttering the existing pages on metric systems.
	to make the U.S. customary measurement sessions optional for Canadian users.

2. In the upper primary levels (Primary 4 and up), both metric and U.S. customary measurements are used in the learning tasks, reviews, and exercises.

For problems other than conversion of measurement, Canadian users can change the US customary unit to a metric unit without affecting the concept being addressed in the problem.

We wish to acknowledge the following individuals for their valuable academic contributions to the success of the Primary Mathematics U.S. Edition:

I came across a web site that claims that Primary Mathematics is outdated, and that the Primary Math series is not as good as the new series. What does this mean?
These are usually sites that are run by individuals who do not have any access to the Primary Mathematics books. They apparently feel that it is better for them to say that the books are outdated, than to acknowledge the fact that they are not authorized distributors and have no relationship with the publishers, and hence no access to books that are only available to official distributors. The same individuals will also be giving inaccurate facts about the Singapore Math. We suggest that you write to the publishers to verify "facts" presented on these sites. You can also write to the publishers to verify if any of these "bookstores" are authorized distributors. Please also look at Singapore Math Story for more information about changes in Singapore math curriculum from 1981 through 2001.

Primary Mathematics 3rd Edition

How many books/sets are used in the program?
The Primary Mathematics 3rd Edition Series consists of twelve sets - two sets at each grade level. These two sets represent the first and second semester of each level. The 1st through 4th grade sets consist of 1 textbook (also known as coursebook) and 2 workbooks. Each 5th and 6th grade set consists of 1 textbook and 1 workbook.
To Order.
What is the difference between Primary Mathematics 3rd Edition and U.S. Edition?
Please see table for detailed information. Please also look at the story of the Primary Mathematics U.S. Edition.
Can we use our existing 3rd Edition coursebook with the new workbooks?
You can, but there will be some discrepancy in workbook exercise numbers in the go-to workbook exercise flags in the 3B and 6B textbooks. Four extra exercises on customary measures were inserted into the 3B workbook. Extra exercises on division by a fraction were inserted in the 6B workbook.
Is Primary Mathematics the only primary mathematics program used in Singapore?
The Primary Mathematics Series was the only series used from 1982 through 2000. Starting from January, 2001, there are now six new primary-level series in the Singapore market. Some of the new series did not make it past Primary 2 and 3 levels, and have already been discontinued in Singapore. Only primary one through five levels of these new series are currently in print. The Primary Mathematics Series is the series that helped put Singapore on top in international testing.
Will you discontinue the current Primary Mathematics Series?
We will continue to carry the current Primary Mathematics Series (3rd Edition).
Does SingaporeMath.com Inc plan to carry the new series?
The Primary Mathematics Series has proven to be very effective and is the program upon which Singapore's reputation in international testing was established, so we plan to continue carrying this series. In fact, we now have an U.S. Edition of the Primary Mathematics series. We are also carrying two new series - My Pals Are Here! Maths and Shaping Maths.
What is the difference between the Primary Mathematics and other new series?
Please see table below.
Do you have a placement test for the Primary Mathematics Series?
Placement tests are available for Primary 1A through 6B. The same tests can be used for the Primary Mathematics U.S. Edition.
Do you have sample pages for review?
Yes. Please go to Samples for Primary Mathematics 3rd Edition.
Do you have contents for each level listed?
Yes. Please go to Contents for Primary Mathematics 3rd Edition.
Do you have a scope and sequence chart for this series?
Yes. Please go to Scope and Sequence for Primary Mathematics 3rd Edition.
How do I know where to place my child?
Please make use of placement tests, sample pages and contents to help with your decision making. We also have a forum where you can share similar concerns.
Do we need both the textbook and the workbook?
Yes, you do. Learning tasks and activities (class work) are present in the coursebook (textbook), and exercises (independent work) are present in the workbook.
Are the textbooks and workbooks consumable ?
The workbooks are meant to be consumable, and the textbooks are not meant to be consumable. If a child prefers to work more independently and does not like copying problems, you may wish to use the textbook as a consumable, although there is not much space alongside the textbook exercises for the child to show his/her working. Working space is provided in the workbook exercises.
Are there practice exercises in the textbook ?
Yes. There are some practice exercises at the end of each new concept learned. However, the bulk of practice exercises are in the workbooks.
Where can I find more practice exercises?
We have supplement books for Primary 1-6 that provide ample practice exercises (answers provided). These books are written in accordance with the Primary Mathematics syllabus, and can be used with both Primary Mathematics 3rd Edition and Primary Mathematics U.S. Edition.
Do the Primary Math 3rd Edition books come with answer keys?
There are no answer keys for grades 1 thru 4. Textbooks for grades 5 and 6 have answer keys in the back.
Do you provide answer keys?
Answer keys are available at our website for Primary Mathematics 3rd Edition. Answer key booklets for Primary Mathematics 3rd Edition are also available for all the textbooks and workbooks in two booklets - one for Primary 1-3 and one for Primary 4-6. Answers or answer keys are found in the teacher's guides and home instructor's guides. If you are purchasing these guides, you may not need the answer key booklets.
Do the Primary Math 3rd Edition books come with Teacher's Guides?
Teacher's Guides for levels 1A,1B, 3B, 4A and 4B are now available. Future Teacher's Guides will be written for both the U.S. and 3rd Edition.
Besides the Teacher's Guides, are they any other teaching aids?
Home Instructor's Guides for 2A, 2B, 3A, 3B, 4A, 4B, 5A, 5B, 6A and 6B are available.
Are there any tutoring services for the Primary Mathematics Series?
QuestationMath.com, a Singapore based e-learning provider offers online math tutoring by highly qualified Singapore tutors. Parents who do not have the time, or who are looking for interactive help in teaching Singapore math may find this new service a valuable supplement.
What if I have more questions about using these books?
Please visit our forum and post your questions and concerns.
Do you carry manipulatives?
We carry manipulatives for homeschoolers and manipulatives for schools.
What if I encounter problems when we have already started using these books?
As long as you have purchased the books from SingaporeMath.com or from one of our partners, you are welcome to visit our forum for online help.
Where can I find more information about Primary Mathematics Series?
Please visit our web pages about Primary Mathematics 3rd Edition or Primary Mathematics U.S. Edition.

New Series

Who wrote the Primary Mathematics series?
The Primary Mathematics Series was first published in 1982 and was the only series used in Singapore primary schools up till 2001. Primary Mathematics was written by members of a project team put together by the Ministry of Education, Singapore.
How many new series are there?
The following new series were published to eventually replace Primary Mathematics in Singapore. The new series are :
1. My Pals Are Here! Maths (60+% adoption rates in Singapore schools)
2. Shaping Maths (20+% adoption rates in Singapore schools)
3. In-Step Mathematics.
4. Mathematics in Action.
5. Active Primary Maths (did not continue into Primary 4)
6. i-Maths (did not continue into Primary 3, was replaced by In-Step Mathematics),
7. Thinking Maths (did not continue into Primary 4).
Who publish these new series?
The new series are published by different publishers. However, the two top-selling series, My Pals Are Here Maths! and Shaping Maths, are published by Marshall Cavendish (formerly known as Times Media) - the same publishers who publish the Primary Mathematics Series. Active Primary Maths is also published by Times Media. ( It did not continue into Primary 4 because the publishers have decided to concentrate their efforts on My Pals Are Here! Maths and Shaping Maths)
How are these new series faring in Singapore?
Schools administrators and teachers have access to all the new series, and it is up to the schools to decide on the series to adopt for their mathematics curriculum. Adoption of these series vary from over 60% down to less than 5%. (There are about 200 primary schools in Singapore). Some series did not continue publication through the higher levels because they were not approved (for those levels) by the Ministry of Education, Singapore.
Why are you selling Primary Mathematics when they are so many new series used in Singapore?
Primary Mathematics has been around for over twenty years and has a proven track record. Students from Singapore who scored well in the 1995 TIMSS, 1999 TIMSS and 2003 TIMSS were using the Primary Mathematics series. We have also consulted with several professors (who were advocating "back to basics" mathematics) in the U.S. and they have unanimously agreed that the new texts lack the in-depth teaching of the original Primary Mathematics series. The original Primary Mathematics series were, after all, written by members of a team put together by the Ministry of Education (MOE) in Singapore. Teachers were also invited to test the material and to provide useful insights and suggestions. The new series are written by authors hired by the publishers. It would have been very easy for us to carry just the new series, for the same publishers who publish the Primary Mathematics Series also publish both the top selling new series. But our mission is to make available the best mathematics books from Singapore - and at this point in time, the Primary Mathematics Series, with its proven record, is still in the lead. We even got approval from the Singapore MOE to publish a U.S. edition of the Primary Mathematics series so that we could add in some material (US measurement) requested by our US customers, as well as include some material from an earlier edition (2nd edition). Meanwhile, we are monitoring the results of the new series. After all, mathematics education is not about the latest 'new thing'.
Which series is the most popular with schools and homeschoolers in the U.S. and Canada?
The Primary Mathematics Series is the most popular series used in both schools and homes.
Schools usually start using this series after reviewing the books, and after talking to other school users. Some school users attend Singapore mathematics conferences. Many of these conferences are held by academics who are driven by their confidence in the Primary Mathematics Series.
Homeschoolers in the U.S. and Canada are a discriminating bunch, and although the new series are easily available at our store, most of them inevitably end up using the Primary Mathematics Series. Many of them have come back with very positive feedback about the program.
What is the similarity between the new series and Primary Mathematics?
The contents are pretty similar for the levels already published (Primary 1-5 are in use in Singapore, Primary 6 will be available in late 2005). Both the Primary Mathematics series and the new series are based on the 1999 reduced syllabus. (However, with the Primary Mathematics U.S. Edition, a chapter on division of fractions that was "reduced" was added back).
What are the differences between the new series and Primary Mathematics?
The new series are written by different authors hired by the publishers. Hence the methodologies used for teaching the same concepts will vary between series (i.e. the differences are not limited to pictures, names and color schemes). For more information, please see table below. Three initiatives were also introduced - National Education (to develop citizenship skills and values in the Singapore context), Information Technology (to bring hardware and software technology into schools. However, for the new primary math series, the IT content is found only in the teacher's CD ROMs. It is not mentioned in the textbooks or workbooks, as the IT materials are not reviewed by MOE), and Critical and Creative Thinking (to infuse thinking skills).
Why are they phasing out Primary Mathematics?
It is the MOE's decision to "open up" the textbook market in Singapore. Three initiatives were also introduced - National Education (to develop citizenship skills and values in the Singapore context), Information Technology (to bring hardware and software technology into schools. However, for the new primary math series, the IT content is found only in the teacher's CD ROMs. It is not mentioned in the textbooks or workbooks, as the IT materials are not reviewed by MOE), and Critical and Creative Thinking (to infuse thinking skills).
How can we make up for the three initiatives that are missing in the Primary Mathematics series?
On National Education - these are citizenship skills and values in the Singapore context. As such, they are not relevant to students outside of Singapore.

On Information Technology - the IT content is not in the textbooks/workbooks of the new series. There is no difference between the Primary Mathematics series and the new series. Students in the U.S. and Canada are exposed to IT in many other aspects of their academic career and it is not essential that they learn it from a math book.

On Critical and Creative Thinking - these come in the form of harder problems at the end of the chapters in the new series (hence there are less "regular" practice problems in the new series). Primary Mathematics does contain some similar harder problems problems in the textbook practices, just not under a separate heading. Additional harder problems are found in supplementary books such as Primary Mathematics Intensive Practice, Primary Mathematics Challenging Word Problems and the Brain Maths series.
Is SingaporeMath.com Inc replacing Primary Mathematics with MPH Maths or Shaping Maths?
We have no intention of replacing Primary Mathematics. Primary Mathematics has been around for over twenty years and has a proven track record. All the new series are in their initial phase of use, and from the start we did not expect some of them to make it past the lower primary levels. Instead, we will continue to offer Primary Mathematics rather than promote the new series in the U.S./Canada markets. However, we do offer MPH Maths and Shaping Maths (the two top-selling new series in Singapore) as an alternative for customers who would like to have the latest books used in Singapore.

My Pals Are Here! Maths Series

Is MPH Maths the most popular new series being used in Singapore?
Yes, it is. It has the high adoption rate by schools in Singapore (over 60%). This series also has extensive teaching aids and resources.
How many books/sets are used in the program?
MPH Maths Series consists of two sets at each grade level. These two sets represent the first and second semester of each level. Each set consists of 1 textbook (also known as pupil's book) and 2 workbooks (also known as practice books). Only 1st through 5th grades are available now. 6th grade books will be published in December 2005. To Order.
Are your books the latest editions?
MPH Maths Series was first published in the year 2001 and only one edition is in print.
What is the difference between the Primary Mathematics and My Pals Are Here! Maths Series?
The Ministry of Education (Singapore) wrote the text for Primary Mathematics. As with all the new series currently used in Singapore for Primary 1 through 5, MOE drafted the syllabus and the publishers interpreted and wrote the text for MPH Maths Series. Please see table below. As with all the new series, MPH Maths emphasizes infusion of IT (use of CD-ROMs and computer related resources) and national education (references to Singapore as the homeland and inclusion of important dates and events).
Do you have a placement test for the MPH Series?
Placement tests are now available for Primary 1A through 2B.
Do you have sample pages for review?
Yes. Please go to Samples.
Do you have contents for each level listed?
Yes. Please go to Contents .
How do I know where to place my child?
Please make use of placement tests, sample pages and contents to help with your decision making. We also have a forum where you can share similar concerns.
Are the books written in English?
Yes. English is the medium of instruction in Singapore. We also have a glossary for names and terms not commonly used in the United States.
Do we need both the textbook and the workbook?
Yes, you do. Learning tasks and activities (class work) are present in the coursebook (textbook), and exercises (independent work) are present in the workbook.
Are there practice exercises in the textbook ?
There are some work problems but most of the exercises are in the practice books.
Where can I find more practice exercises?
We have supplement books for Primary 1-6 that provide ample practice exercises (answers provided).
Do the books come with answer keys?
No. Teacher's Edition for the coursebooks and practice books are available. All answers are provided in the TE. There are no answer keys for the enrichment and reteach books.
Do you provide answer keys?
No. Teacher's Edition for the coursebooks and practice books are available. All answers are provided in the TE.
Do the books come with Teacher's Guides?
Yes. Teacher-assist Packs are available for all levels.
What if I have more questions about using these books?
Please visit our forum and post your questions and concerns.
Do you carry manipulatives?
We carry manipulatives for homeschoolers and manipulatives for schools.
What if I encounter problems when we have already started using these books?
As long as you have purchased the books from SingaporeMath.com or from one of our partners, you are welcome to visit our forum for online help.
Where can I find more information about Series?
Please visit our web page about MPH Maths.

Shaping Maths Series

How many books/sets are used in the program?
The Shaping Maths Series consists of two sets at each grade level. These two sets represent the first and second semester of each level. For 1st grade, each set consists of 1 textbook (also known as coursebook) and 1 activity book. For 2nd through 5th grades, each set consists of 1 textbook (also known as coursebook) and 2 activity books.
Are your books the latest editions?
Shaping Maths was first published in the year 2000 and only one edition is in print.
What is the difference between the Primary Mathematics and Shaping Maths series?
Please see table below.
Do you have a placement test for the Shaping Maths Series?
Placement tests for Primary Mathematics and Shaping Maths will be the same for the lower grades.
Do you have sample pages for review?
Yes. Please go to Samples.
Do you have contents for each level listed?
Yes. Please go to Contents.
How do I know where to place my child?
Please make use of placement tests, sample pages and contents to help with your decision making. We also have a forum where you can share similar concerns.
Are the Shaping Maths books written in English?
Yes. English is the medium of instruction in Singapore. We also have a glossary for names and terms not commonly used in the United States.
Do we need both the textbook and the activity book?
Yes, you do. Learning tasks and activities (class work) are present in the coursebook (textbook), and exercises (independent work) are present in the activity book.
Are there practice exercises in the textbook ?
There are some work problems but most of the exercises are in the workbooks.
Where can I find more practice exercises?
We have supplement books for Primary 1-6 that provide ample practice exercises (answers provided).
Do the Shaping Math books come with answer keys?
No.
Do you provide answer keys?
Not currently.
Do the Shaping Maths series come with Teacher's Guides?
Yes. There is a Teacher's Resource for each level (cover both the A and B sets).
What if I have more questions about using these books?
Please visit our forum and post your questions and concerns.
Do you carry manipulatives?
We carry manipulatives for homeschoolers and manipulatives for schools.
What if I encounter problems when we have already started using these books?
As long as you have purchased the books from SingaporeMath.com or from one of our partners, you are welcome to visit our forum for online help.
Where can I find more information about Shaping Maths Series?
Please visit our web page about Shaping Maths.

Differences in the series

This chart lists the differences between the three series.

Primary Mathematics		My Pals are Here!	Shaping Maths
U.S. Edition	3rd edition
First published in 1981, used by students who scored high in international tests. Please see TIMSS results.		1A and 1B first published 2000. New levels added each year. 1A-5B completed, 6A/6B will be available December 2005.	1A and 1B first published 2000. New levels added each year. 1A-5B completed, 6A/6B will be available December 2005.
Written by the Ministry of Education (MOE) in Singapore. U.S. edition approved by MOE.		Written by authors following the new MOE-drafted syllabus, approved by MOE.	Written by authors following the new MOE-drafted syllabus, approved by MOE.
Only math series used in Singapore from 1981 until 2000. Currently being phased out for use in schools in Singapore but still being printed and supported for use in the U.S.		One of six new series being introduced in Singapore in 2001. Top selling new series.	One of six new series being introduced in Singapore in 2001.
Contains additional units on standard units of measurement (click here to view example). Metric measurement from 3rd Edition retained. Currency replaced with U.S. currency (click here to view example). U.S. conventions for writing numbers and time used. U.S. spellings and word usage.	Metric measurement only. Singapore currency pictures only. Singapore conventions for writing numbers and time. British spellings and word usage.	Metric measurement only. Singapore currency pictures only (click here to view example). Singapore conventions for writing numbers and time. British spellings and word usage. More pictures and references specific to Singapore's culture (click here to view example) than Primary Mathematics. Contains infusion of Singapore National Education.	Metric measurement only. Singapore currency pictures only. (click here to view example). Singapore conventions for writing numbers and time. British spellings and word usage. More pictures and references specific to Singapore's culture than Primary Mathematics. Contains infusion of Singapore National Education (click here to view example).
Levels 1A-6B consist of 1 textbook and 1 workbooks for each semester.	Levels 1A-4B consist of 1 coursebook and 2 workbooks for each semester. Levels 4A-6B consist of 1 coursebook and 1 workbook for each semester.	Levels 1A-3B consist of 1 coursebook and 2 practice books for each semester. Levels 4A-5B consist of 1 coursebook and 1 practice book for each semester.	Levels 1A-1B consist of 1 coursebook and 1 activity book for each semester. Levels 2A-5B consist of 1 coursebook and 2 activity books for each semester.
Home Instructor's Guides with schedule, teaching suggestions, games, answers, solutions, and mental math problems for 2A-6B. All the guides require flexibility in designing lessons. Answer keys available (one booklet for 1A-3B and one booklet for 4A-6B) containing answer key only.		Teacher-Assist Pack with schedule and teaching suggestions. Specific lesson plans are given, with some half-hour lessons for warm-up, some for working together, and some for individual work. Complete instructions and worksheets for games (mentioned in the MPH coursebooks) are also found in the Teacher-Assist Pack. Teacher's Editions of coursebook and activity books with reprint of student text and answers printed on each page.	Teacher's Resource Pack with schedule and teaching suggestions. Requires flexibility in designing lessons. No answer keys currently available.
Teacher's Guide with schedule, teaching suggestions, and answers available for 1A through 4B. Other levels in production.	Teacher's Guide with schedule, teaching suggestions, and answers available for 1A, 3B, 4A and 4B. Other levels in production. On-line answer keys for both coursebooks and workbooks. Some coursebook answers in back of texts for 5A-6B.
Each textbook has a 5-9 of units divided into parts. Each part begins with 1-2 pages of a "meaningful situation for communication" followed by sets of specific learning tasks. Each set of 2-8 learning tasks is linked to 1-3 exercises in the workbooks. The textbooks for 2A-6B also contain 10-20 practices (click here to view sample) per semester that can be done during class time and tend to have some challenging problems. Some of the textbook practices are cumulative and cover earlier concepts, but most cover the material in the current unit. The Teacher's Guides suggest using the workbooks for homework. The workbooks have about 50-60 exercises per semester for 1A-5B. There are fewer exercises (around 25) in the 6A-6B workbooks but more and longer reviews.		Each coursebook has a 8-9 units divided up into sections meant to take from 2-4 half-hour periods. Each section starts with a "Warm-Up" illustrating new concepts and with several learning tasks, followed by "Let's Work Together" containing group games and/or a few practice problems covering the new concept. Each section is linked to 1-3 exercises in the practice books, which are individual work scheduled to be done during class time at the end of the sections. Some units in 1A-3B have 1 "Put on Your Thinking Caps" and all units in 4A-4B has 1-3 of them. The 1A-4B practice books have about 30-45 practices per semester. The 4A-4B practice books also have 1 challenge and 1 problem solving exercise per unit.	Each coursebook has 5-9 units. Each unit is thematic, meant to relate to some aspect of the student's lives (school children in Singapore). The units begin with a double page spread for 1A-3B and single page spread for 4A-4B depicting a scene relating to the theme with information for discussion. This is followed by 3-5 sections. Each section begins with 1-2 pages of information followed by 2-8 learning tasks. Each section is linked to 1-3 exercises in the activity books. The 1A-2B activity books have 40-60 activities per semester. There is one "problem solving" exercise per unit in the activity book.
Illustrations are cartoon-like, with students conveying ideas in word or thought bubbles.		The illustrations are mainly cartoon-like and revolve around 6 characters (furry imaginary creatures). There are some photos of children and objects.	Illustrations are cartoon-like and revolve around four main characters (children).
Each textbook from 2A-6B has 3-7 cumulative review problem sets per semester. Workbook have about 4-8 cumulative review problem sets per semester. Length of the reviews increase as the level increases. Reviews are not just repeats of problems from earlier units, but require a higher level of problem solving with each review.		There are no cumulative reviews in the coursebook. The workbooks have 2 cumulative reviews per semester.	There are no cumulative reviews in the coursebook for 1A-3B. 4A-4B have 3 cumulative reviews per semester.. The workbooks have 2-4 cumulative reviews per semester.
U.S. editions of supplemental books are available (follow same sequence in Primary Mathematics and include some U.S. standard measurement). Extra Practice for Primary Mathematics - Practice/homework book with short topical exercises and some reviews. 1 book per year, answers in back. Primary Mathematics Challenging Word Problems - Enrichment book with word problems topically arranged and divided into two levels of difficulty and including many challenging problems, 1 book per year, answers in back. Primary Mathematics Intensive Math Practice - Enrichment book with a a long exercise for each unit which includes non-routine problems, problem solving and many challenge problems pushing into later concepts. 1 book per semester, answers in back.	Various supplemental books by different authors which can be used for extra practice and enrichment. Differ in sequence in places.	Supplemental books by the same author: Reteach book - Extra practice. 1 book per semester, no answers. Enrichment book - About 8 problems in 1 exercise per unit, some non-routine problems. Some of the activities incorporate Art and English.1 per semester, no answers. Homework book - Extra practice. 1 exercise set per week. 1 book per semester, answers in back. Practice test book - 2 tests, 1 continual assessment, and several challenge problems per quarter. 1 book per year, answers in back.	Various supplemental books by different authors which can be used for extra practice and enrichment. Differ in sequence in places.
Supplemental CD-ROMs Rainbow Rock for levels 1 and 2, Vroot and Vroom for levels 3 and 4, Wiggle Woods for levels 5 and 6.		Supplemental CD-ROM not available in U.S. CD-ROMs for Primary Maths can be used.	Supplemental CD-ROM not available in U.S. CD-ROMs for Primary Maths can be used.
Textbooks for 1A-2B are in color, those for 3A-6B are two-tone. Workbooks are black and white.		Textbooks for 1A-5B are in color. Practice books for 1A-3B are two-tone, those for 4A-5B are black and white.	Textbooks for 1A-5B are in color. Activity books are black and white.
Has a greater variety of word problems and more practice in mathematical concepts than both newer series. Has consistent and coherent incremental development of concepts. Increasing problem solving abilities within the context of word problems required in the reviews. Modeling for solving word problems taught beginning in 3A. 6B of U.S. edition has a unit on division of fractions which is not in the 3d edition. No separate puzzles and "critical thinking" problems in the course textbook and workbooks.		Introduces some modeling for solving word problems in level 2. Lacking some concepts developed in Primary Mathematics in 1A-3B and has less consistent development of some concepts in these levels. More explicit instruction in geometry in 4B coursebook. Contains distinct puzzles, "critical thinking" and "challenge" problems. According to the author, the objective of MPH Maths texts is to provide an opportunity for students at the younger age to interact and brain storm ideas.	Closer to Primary Maths in scope and sequence and development of concepts than My Pals are Here, but fewer reviews and less practice. Contains some distinct puzzles and critical thinking types of problems.

We also have a side by side sample comparison table for the three series - the samples are selected from the same level of each series and they cover the same topic.

Singapore students who took TIMSS in 1995, 1999 and 2003 were using the Primary Mathematics series. In all three years, Singapore students were in top place. The results speak for themselves about the Primary Mathematics series.

Which series should we use?

Which series should we use?
It depends on your preference. If you are looking for the latest program being used in Singapore - My Pals Are Here! Maths and Shaping Mathematics will be the series for you. With its full range of Teacher's Edition and Teacher's Resource Pack, My Pals Are Here! Maths is good for those who need all the help they can get. However, if you are looking for a program that has a proven track record, then Primary Mathematics Series will be the answer. It takes a basic, 'no-nonsense' approach to teaching the concepts, followed by lots of exercises in both the textbooks and workbooks. The Ministry of Education (Singapore) wrote the text for Primary Mathematics. Teacher Guides and Home Instructor Guides are now available for this series.
Which series were Singapore students who took part in TIMSS using?
Singapore students who scored top in TIMSS (Trends in International Mathematics and Science Study) 1995, 1999 and 2003 were all using the Primary Mathematics Series.
Which series is the most popular series used in the U.S. and Canada?
Primary Mathematics Series is the most popular Singapore series used in the U.S. by schools and homeschoolers. We continually receive very positive feedback on this program.

What is the difference between the Primary Mathematics and the new series?
The Ministry of Education (Singapore) wrote the text for Primary Mathematics. As with all the new series currently used in Singapore for Primary 1 through 5, MOE drafted the syllabus and the publishers interpreted and wrote the text for the new series. Please see table for a summary of the differences.

Math CD-ROMS

Are the CD-ROMs taken directly from the Primary Math series?
No, but they cover the same concepts for the respective grade levels in the Primary Mathematics series. These are much more difficult and challenging CDs than others meant for the same grade levels. The use of the CD-ROMs is supplementary in nature for the Primary Mathematics series. To Order.
How do users of Primary Mathematics Series and MPH Maths know which section of the CD-ROMs to use in conjunction with the topics taught?
We have a CD-ROM chart that shows users of Primary Mathematics Series and MPH Maths the relevant sections to go to which correspond to the lessons in the books.
Would these CD-ROMs be difficult to understand if you are not familiar with Singapore Math, or are they self-explanatory?
The CD-ROMs are self-explanatory - there are teaching sections followed by
activities based on the teaching.
Can these CD-ROMs be used without the Singapore Math curriculum?
The CD-ROMs can be used without the Singapore Math curriculum.
Are the CD-ROMs returnable?
No, CD-ROMs are strictly non-returnable. Please look at system requirements before purchase. Please note that the all the Active Primary Mathematics CD-ROMs do not run on Macintosh.
What is the system requirement for the Active Primary Mathematics CD-ROMs ?
System Requirements:
For Rainbow Rock and Wiggle Woods:
Windows 95/98/ME/XP
Pentium III
64 MB RAM
10X CD-ROM Drive
SVGA 256 Colours Display Card
Windows Compatible Sound Card
Speaker/Headphones
Mouse

For Vroot and Vroom:
Windows 95/98/ME/XP
Pentium 200
32 MB RAM
8X CD-ROM Drive
SVGA 256 Colours Display Card
Windows Compatible Sound Card
Speaker/Headphones
Mouse

Color setting of higher than 256 is not advisable.

Please note that the all the Active Primary Mathematics CD-ROMs do not run on Macintosh.

If the program does not run on your system, make sure your video card and sound card drivers are updated, and that your operating system has all the updates installed. Also try cleaning the CD (wipe it with lint free cloth, or wash with mild detergent or plain water and pat dry). Please note that we do not have the technical expertise to provide technical support for CD-ROMs.
Why does my Active Mathematics CD-ROM freeze even though our computer meets system requirements?
This may be because the color setting of your computer is set at higher than 256. Please change your setting to 256.
Where can I find more information about Singapore CD-ROMs?
For more information, or to order, please go to Singapore Math CD-ROMs.

How Does Singapore Math compare?

How does Singapore Math compare with other Math programs?
Singapore Math is a balance between drill and creative problem solving. Customers who have used other programs think that the Singapore approach moves along to more abstract math concepts in a more rational way and, depending on the student's pace, more quickly. Other positive feedback indicates that the Singapore approach encourages greater problem solving skills and creative thinking.
Does Singapore Math use the incremental, spiral or unit-style approach?
The Singapore Math curriculum does not conform strictly to any of the above approaches. The strong point of Primary Math is the way basic concepts are presented. There is always more than one approach, and the workbooks are instrumental in making sure the information is generalized in the way desired. There are 'Practice' and 'Revision' that serve as unit tests at the ends of chapters and sections. There is a really effective mix of drill, word problems and mental calculation instruction connected to all important concepts. While typical U.S. curricula touch on a larger number of topics rather superficially, PM nails the core math curriculum in a way that better prepares students for higher math.
How is Math drilled in Singapore?
Individual teachers approach the process of oral drill and use of manipulatives differently. There is, however, great emphasis on homework and practice. The workbooks are intended to be completed by students without assistance.
How teacher-intensive is the program?
As with any program, effective supervision plays an important role.
Is there any part of Singapore Math which is independent learning?
The student is expected to do all the work in the workbooks independently.
Do we need to purchase additional products such as manipulatives for use with this curriculum?
Teachers in Singapore use simple manipulatives such as flash cards, charts and 3-dimensional objects. We carry some manipulatives.
What grading scalesare used in Singapore for primary level math?
Maximum points 100
A* -     91 to 100
A   -    75 to 90
B   -    60 to 74
C   -    50 to 59 (passing grade)
D   -    35 to 49
E   -    20 to 34
U   -     0 to 19 (ungraded)

50% is the minimum passing mark for primary school math.
A* means getting a Distinction (91% and above).

Lesson Plan

How do I know how much material to cover a day if Singapore has a longer school year?
Can the lessons be easily divided to fit the American standard of 180 school days?
It is true that Singapore has a longer school year and here is where homeschoolers can have the advantage of adapting their instructional time-table to conform to the Singapore schedule. At the same time, instruction can be paced according to the needs of the individual student.
Are there daily lesson plans, and if not, is it difficult to develop my own?
Schemes of Work for Primary Mathematics U.S. Edition are now available.
There are no daily lesson plans for Primary Mathematics 3rd Edition, MPH Maths and Shaping Maths. There is, however, no difficulty in creating lesson plans based on the contents of each chapter. The teacher's guides for these series provide a scheme of work/teaching activity sequence. These give a guideline on the amount of time to spend on each topic.
How long do the lessons and the exercises take?
It depends on the pace of the student, but as a general rule, two to three pages from the textbooks will be considered sufficient for the day. The accompanying section from the workbook should be completed independently by the student.

Price List for Primary Mathematics U.S. Edition

	Primary Math textbook (1A through 6B) - US$8.00 each
	Primary Math workbook (1A through 4B) - US$8.00 each
	Primary Math workbook (5A through 6B) - US$7.00 each
	Primary Math Teacher's Guide (1A, 1B, 2A, 2B, 3A, 3B, 4A and 4B ) - US$20.00 each
	Primary Math Home Instructor's Guides (2A-6B) - US$14.95 each
	Answer Key booklets (1-3 and 4-6) - US$6.80 each

To order

Price List for MPH Maths Series

	MPH Maths textbook (1A through 5B) - US$7.00 each
	MPH Maths practice book Part 1 (1A through 3B) - US$3.00 each
	MPH Maths practice book Part 2 (1A through 3B) - US$3.00 each
	MPH Maths practice book (4A through 5B) - US$6.00 each
	MPH textbook T.E. - US$10.00
	MPH practice book T.E.(1A through 3B) - US$5.00
	MPH practice book T.E.(4A through 5B) - US$10.00
	MPH Teacher-assist Pack (Pri 1 through 4) -- US$60.00
	MPH Teacher-assist Pack (Pri 5) - - US$70.00
	MPH Reteach book (for students who need additional help) - US$5.00
	MPH Enrichment book (for students who are seeking for challenging math questions) - US$5.00
	MPH Kaboom cards (for games) - US$2.00
	MPH Test Papers - US$7.00

To order

Price List for Shaping Maths Series

	Shaping Maths textbook (1A through 5B) - US$7.00 each
	Shaping Maths activity book (1A through 1B) - US$6.00 each
	Shaping Maths activity book (2A through 5B) - US$3.00 each
	Shaping Maths Teacher's Resource Pack -US$25.00 each

Changes in Singapore math curriculum from 1981 through 2001

1981

The first Primary Mathematics curriculum was developed in 1981 by CDIS (Curriculum Development Institute of Singapore), now called CPDD (Curriculum Planning & Development Institute of Singapore). The Primary Mathematics Series was first published in 1982 and was the only series used in Singapore primary schools up till 2001. The 1981 curriculum was focused on content (e.g. computation), and problem solving did not receive a prominent role.

1992

The 1981 curriculum was revised in 1992 to make it a problem solving curriculum. The 1992 curriculum requires pupils to be able to do some problem solving, i.e., the use of (simple) math in novel / complex situations. The Primary Mathematics (Second Edition) was based on the 1992 curriculum.

The Primary Mathematics (Second Edition) was published for Primary 1 in 1991, for Primary 2 in 1992, Primary 3 in 1992, Primary 4 in 1992, Primary 5 and 6 in 1995.

1994

Since 1992, there have been no significant changes to the curriculum. However, contents were further reduced in 1994.

The Primary Mathematics (Third Edition) for Primary 1 and 2 were based on the 1994 reduced syllabus.

1999 Reduced-Content curriculum

In 1999, Singapore's Ministry of Education decided to reduce the content in the curriculum in order to provide room for teachers to implement key initiatives (namely the infusing of thinking skills and integrating the use of Information Technology in lessons and the delivery of the National Education messages). Curriculum content were reduced by up to 30% for most subjects.

The content removed or reduced from the subject syllabuses includes the following:

	Concepts or skills which are not fundamental to the essence of the subject studied or which rely on plain recall;
	Content which overlaps with that taught at other levels in the same subject or with what is taught in other subjects;
	Content which focuses on technical details rather than conceptual understanding and is no longer relevant in the Singapore context or in real world practice; and
	Content which is too difficult or abstract for the intended level.

Please see press release "Content Reduction in the Curriculum". http://www.moe.gov.sg/press/1998/980716.htm

The Primary Mathematics (Third Edition) was published for Primary 3 in 1999, Primary 4 in 2000, Primary 5 in 1999 and Primary 6 in 2000. The Third Edition was a further refinement to the Second Edition so that the aims of the 1992 syllabus were better met.

One of the major chapters removed from Primary Mathematics (Second Edition) was "Division of Fractions". This same chapter was added back in our Primary Mathematics (US Edition).

All the new series (first published in 2001) are based on the 1999 reduced-content syllabus.

2001 Singapore Primary Math curriculum

The second stage of the 1999 content reduction for curriculum was implemented from the year 2001. This stage involves change in teaching methodologies, learning approaches and assessment modes. Three initiatives were also introduced - National Education (to develop citizenship skills and values in the Singapore context), Information Technology (to bring hardware and software technology into schools. However, for the new primary math series, the IT content is found only in the teacher's CD ROMs. It is not mentioned in the textbooks or workbooks, as the IT materials are not reviewed by MOE), and Critical and Creative Thinking (to infuse thinking skills).

Starting from 2001, textbooks for primary level mathematics have been privatized with the hope that the changes will be faster and there will be more choices. The contents in the new series that were first published in 2001 remained the same as the 1999 reduced syllabus.

Please see press release http://www.moe.gov.sg/speeches/1999/sp081099.htm

2005 onward....

Will there be another revision of the Singapore mathematics syllabus in the near future? We will be able to tell you more in the year 2006.

Summary of curriculum changes from 1981-2001:

1981/1982	1992	1994-1999	2001	2003
first Primary Mathematics curriculum was developed.	the 1981 curriculum was revised to make it a problem solving curriculum. This is basically the same curriculum used since 1992.	the curriculum was reduced in order to provide room for teachers to implement key initiatives (namely the infusing of thinking skills and integrating the use of Information Technology in lessons and the delivery of the National Education messages).	based on the 1999 reduced syllabus, the following three initiatives were added: National Education (to develop citizenship skills and values in the Singapore context). Sample. Information Technology (to bring hardware and software technology into schools. However, the IT content is found only in the teacher's CD ROMs. It is not mentioned in the textbooks/workbooks as the IT materials are not reviewed by MOE.) Critical and Creative Thinking (to infuse thinking skills). Sample Publishers hired their own writers to write the new series. The teaching of concepts and methods are not exactly the same as Primary Mathematics.	SingaporeMath.com received approval from MOE, Singapore to adapt the third edition with the following major changes: Add back a whole chapter that was removed in the 1999 reduced syllabus - "Division of Fractions". Add chapters on customary measurements for weight, length and volume. (The existing 3rd edition metric systems were not removed). Use American currencies instead of Singapore currencies.
Series title: Primary Mathematics	Series title: Primary Mathematics 2nd edition	Series title: Primary Mathematics 3rd edition	Series title: MPH Maths Shaping Maths In-Step Maths Mathematics in Action	Series title: Primary Mathematics U.S. Edition

Which series to use?

On the Primary Mathematics series:

Singapore students who scored top in TIMSS (Trends in International Mathematics and Science Study) 1995, 1999 and 2003 were all using the Primary Mathematics series. We can, therefore, say that the Primary Mathematics series is a time tested and documented math success story. We are therefore pleased to have chosen this series to adapt to Primary Mathematics US Edition. With three TIMSS results, and the support of top math academics in the US, we figure we cannot be very wrong with our choice. More information about the adaptation of Primary Mathematics 3rd edition into Primary Mathematics U.S. edition.

On new series used in Singapore:

As of 2005, we do not yet have any international tests/results on any of the new series. We do not want to speculate nor present our unauthorized view about these new series. Some of the series may very well be as good as the Primary Math series. Or, as has happened in the U.S. in the last two decades, changes to existing math curricula need not necessarily bring about the best results. We will, however, present some actual facts about the new series:

	My Pals Are Here! Maths (above 60% adoption rates in Singapore schools).
	Shaping Maths (above 20% adoption rates in Singapore schools).
	In-Step Mathematics.
	Mathematics in Action.
	Active Primary Maths (did not continue into Primary 4).
	i-Maths (did not continue into Primary 3, was replaced by In-Step Mathematics).
	Thinking Maths (did not continue into Primary 4).

For those of you who are eager to go with the latest trend, our recommendation for the new series would be My Pals Are Here! Maths or Shaping Maths. These are, after all, what experienced school teachers in Singapore chose to go with when they had to leave Primary Mathematics behind - above 80% adoption for these two series combined.

Comparison between Primary Mathematics series and the new series.

The Singapore Math Story

1981

1992

1999 Reduced-Content curriculum

2001 Singapore Primary Math curriculum