Shaping Maths Coursebook 3A 3rd Edition
Shaping Maths' colourful Coursebooks (3rd Edition) offer a wide range of learning experiences, taking pupils from the concrete to the abstract mode of mathematical representation. Through engaging activities, pupils gain a thorough grounding in basic mathematical skills and develop the higher-order thinking skills required to solve complex problems.
Question Classification: Teachers can select the category of questions that best suits the individual learner, cutting down the amount of teaching time and avoiding over-teaching.
Collaborative and Reflective: The exercises encourage pupils to share ideas and give feedback on work done.
Maths is thought-provoking: Activities promote cooperative learning and the application of higher-order thinking skills. Pupils are encouraged to understand how they learn, and to be conscious of how that learning is applied.
Shaping Maths is another good option that employs the Singapore approach, aligned to the 2013 Singapore Ministry of Education (this is the most current syllabus). Published by Marshall Cavendish, the publisher of Singapore programs in Europe, this curriculum provides plenty of practice and uses a mastery approach to learning. You’ll find the same vocabulary you’ve come to expect in other Singapore-approach math curriculum and the familiar methods of problem-solving, such as bar modeling, bonding, etc. There are 3 books at each level of this curriculum – Activity Book, Coursebook, and Teacher’s Planning Guide; the three together provide complete instruction at grade level for grades 1-6.
Coursebooks are the textbooks for each semester of Shaping Maths – A and B for each level. These are in full color and give an explanation of the approach for the course and features of the books. The themes of the coursebooks revolve around four characters – Aini, Bala, Caili, and David. The illustrations with each lesson involve everyday life and activities of the four characters. There are 3 types of questions in the coursebooks, marked with icons for easy recognition – pre-requisite skills, reinforcement of current concepts, and higher-order thinking skills. Other sections in the lessons include ‘Fun with Maths,’ ‘My Notes,’ ‘Guiding Questions,’ and additional activities that may require manipulatives. ‘Fun with Maths’ encourages discovery and active thinking of math concepts and skills. ‘My Notes’ are pages that list or show key concepts. ‘Guiding Questions’ encourage the habit of checking to understand a problem. The additional activities may be individual or group activities that provide hands-on opportunities. Chapters are divided into lessons that are very visual and provide both written presentation and illustrations for clarity and suggestions for manipulatives that might be helpful. References to activity book pages are found at the bottom of the coursebook pages, when needed. The number of lessons and pages vary from book to book. Please note that this series uses metric measurements and Singaporean money. Singaporean money is a 100-cent, dollar-based system.
Coursebooks have a bonus feature. These books come with an e-book that can be downloaded to your computer or mobile device. The coursebook comes packaged with an installation guide that allows you to connect to your e-book, which is active for 12 months from the time of activation. An internet connection is required to sign-in, but once the product is downloaded you can browse offline. This allows you to view your coursebook at any time.
The Activity Books in this series are consumable and are formatted for practice of the concepts that are presented in the corresponding coursebook. Referenced at the bottom of the appropriate coursebook pages, you will know when to complete the pages in the activity book. Activity books are black and white and provide ample practice for each concept. Activity books 1A, 1B, and 2B have cardstock manipulatives in the back of the book that will be referenced in some of the lessons of that book. There is one activity book per semester, and the number of pages varies from about 150 to over 200 pages. Activity books have minimal instruction, because it is assumed that you are using the coursebook for the explanation of concepts.
Teacher’s Planning Guides are available for every level of this curriculum. Loaded with helpful resources, these books offer suggested schedules, answer keys, teaching suggestions, key ideas, additional activities and lesson extensions, materials lists, suggestions for struggling learners, and enrichment ideas. Small format student pages are included with answers printed in red, and any reproducible pages are included in the Teacher Guide.
Schedules break the lessons down into standards met, number of periods needed, coursebook and activity book pages, manipulatives needed, and additional information. Schedules are followed by the unit information, beginning with key ideas and vocabulary for the unit. Any learning difficulty that commonly occurs for these concepts is listed, and then a warm-up exercise is suggested, followed by teaching suggestions and notes. The Teacher’s Planning Guides are written for classroom use, so you will find group suggestions that can be adapted or skipped in a homeschool setting. Units are broken into lessons and list objectives, class organization/discussion, materials needed and suggestions for teaching. Corresponding coursebook pages are shown in small format with the teacher notes in the margins. At the end of each unit are extension activities and small format images of the student activity book pages with answers filled in. In some lessons, online resources are mentioned. These digital components are now available with the purchase of the Teacher’s Planning Guide. After purchase, you will receive an access code which will provide 12 months of access to the online resources. Although they are not required for curriculum use, some parents will find the online resources helpful.
Countries around the world first became interested in Singapore’s math curriculum when results of the Third International Math and Science Study (TIMSS) were published in 1995. Conducted by the International Study Center at Boston College, achievement tests in both math and science were administered to students in over 40 countries. Students from Singapore ranked highly in mathematics achievement: 1st in the fourth, seventh, and eighth grade levels and 2nd at the third grade level. Results for the U.S. were disappointing: 10th in the third grade, 11th in the fourth grade, 23rd in the seventh grade, and 27th at the eighth grade level. In a follow-up study in 1999, Singapore again ranked 1st in eighth grade math achievement while U.S. eighth graders ranked 19th. Although a first place ranking does not necessarily imply the best program, something about Singapore’s math program was working.
“Singapore Approach Math” is a general term referring to a type of mathematical instruction (i.e. curriculum) developed from a syllabus designed by Singapore’s Ministry of Education in the 1980s. There were a number of revisions and the 3rd edition was the last edition used in Singapore. The good test scores were associated with this material and all of our Singapore Approach Math programs are based primarily on the 3rd edition although it is no longer available for sale. Components from different editions are not interchangeable but a student can move between the editions in-between levels.
Primary Math US (1-6) is an adaptation of the 3rd edition for use in the U.S. Although a small amount of content (division of fractions) from the 2nd edition was added back into the US edition, it is almost identical to the 3rd edition. The US edition adds sections for U.S. customary measurements and uses U.S. spelling and conventions. We expect this edition to be available indefinitely. ©2003
Primary Math S/E (Standards Edition) (K-6) was adapted to meet the pre-Common Core CA math standards. An additional amount of content (probability, data analysis, negative numbers, coordinate graphing) from the 2nd edition was added back in and topics were rearranged but it is similar to the US edition. Cumulative Reviews at the end of each Unit and practice sets within each unit were added. Textbooks are in color. ©2008 This edition includes Earlybird Kindergarten Math.
Primary Math CC (Common Core) (K-5) is aligned to the Common Core State Standards and is another adaptation of the 3rd edition. Only minor changes were made to the scope and sequence. Unit Reviews are no longer cumulative and Practices were removed although some of the content was incorporated into the lessons. ©2014 Includes Earlybird Kindergarten Math CC. This edition will be available for the foreseeable future.
Primary Math 2022 Edition (K-5) is a completely new revision retaining all the excellent teaching methods of the earlier Primary Math programs. Incorporating both cumulative assessments and challenging problem solving, mastery learning is emphasized. The scope and sequence is similar to previous editions and topics are aligned to state and national standards. ©2021-2022
New Elementary Math (7-8) is a no-frills program based on an older Singaporian program and covering integrated algebra and geometry. It’s considered a sequel to the Primary Math programs.
Math in Focus (K-8) was developed by Great Source (a division of Houghton Mifflin Harcourt) in conjunction with Marshall Cavendish (the original publisher in Singapore). Although the basic instructional sequences are similar and the content is very close to the SE, material added to the most recent editions brings it into alignment with CC. Math in Focus has a more American look and “feel.” ©2010, 2014
View the Singapore Approach Math Comparison Chart.