Dimensions Math Teacher's Guide 3A
Dimensions Math® PreK-5 series features the progression, rigor, and pacing that define Singapore math. Throughout the series, five characters offer students suggestions on how to think about problems. They remind students of strategies they've learned and point out important information that encourages them to come up with their own solutions.
Teacher's Guides include lesson plans, mathematical background, games, helpful suggestions, and comprehensive resources for daily lessons. Lessons are laid out clearly and activities are designed for the whole class, small groups, and extension.
Textbooks and Workbooks do not include answer keys. Answers are in Teacher's Guides.
Using the familiar Singapore methodology found in Primary Math, Dimensions Math is a revision written to exceed standards for grades PK-8. Concrete to Pictorial to Conceptual, number bonds, and bar modeling are still part of the presentation and mental math strategies are still present. Meet Emma, Dion, Sofia, Alex, and Mei at the PK level as they escort your students through lessons in the elementary grades that incorporate bright, colorful animations to demonstrate concepts. Lessons build on prior knowledge and are presented in the Textbooks by introducing concepts in an accessible way. PK-K level textbooks are consumable; levels 1-5 are non-consumable. Using a mastery approach, students will get plenty of practice at the time of presentation.
Workbooks offer practice with a variety of exercises to reinforce the concept taught in the text. Teacher Guides include teaching notes and activities for a class or small group to reinforce the lesson content, answer keys, math literature selections, and more. Just like Primary Math and Math in Focus, each level consists of A and B books (two semesters) using a textbook, workbook, and teacher guide.
There are 3 different divisions of the Dimensions Math curriculum: PK-K, 1-5, and 6-8. While not aligned specifically to Common Core Standards, this series covers and exceeds the standards with some of the information found in the teacher guides.
The Textbooks offer bright graphics in the lesson presentation. Each lesson includes a real-life situation, discussion, exploration, use of manipulatives (optional) and systematic written practice. The five friends – Emma, Dion, Sofia, Alex, and Mei – offer prompts, questions, and a bit of guidance within the lessons. The PK and K textbooks are intended to be written in, and use art, music, and more to help children learn the concepts, with objectives printed at the bottom of each page. Levels 1-5 are considered non-consumable and it is intended for the student to write on their own paper; although there is probably enough space in the textbook for the student to write, you may not want to have to buy a new text for your upcoming students.
The Workbooks at the PK and K levels are full color, perforated pages, and are a bit more engaging for younger learners; level 1-5 workbooks are grayscale. The workbooks offer practice of the concept presented in the lessons found in the textbook. Workbook exercises include basic problems, practice problems, and challenging problems.
Teacher Guides are spiral bound and hardcover for grades PK-6. Printed in color, the teacher guides include an explanation of the approach and framework of this series, a list of the available materials, and online resources. There is also an explanation of how to use this well-laid out resource and a scope and sequence. A chapter overview and suggested lesson schedule is found at the beginning of each chapter, along with a chapter explanation, materials list, blackline masters (found online), and suggested storybooks. At the PK and K levels each chapter is divided into lessons, and each lesson (in order) includes objectives, lesson materials, Explore, Learn, Small Group Activities (Textbook pages used and activities), and Extend. Explore introduces the match concepts using activities. Learn is a summary of the main concepts in the lesson and includes exercises and group activities. Extend expands what was done previously in the lesson in the hope of reinforcing and building confidence with the concepts. At levels 1-5, lessons include Chapter Opener, Think, Learn, Do, and Brain Works. Chapter Opener provides discussion to introduce the concept. Think offers suggestions for methods and activities to discover how to work problems in the text. Learn helps the teacher analyze the student’s methods. Do expands on specific problems. Brain Works are opportunities for lesson expansion. The grade 6 Teacher Guides includes a suggested lesson schedule for each chapter, and each lesson includes instructional material for the teacher/parent, small format student pages, and answers. The teacher guides are easy to follow and the format is clear enough for even a beginner parent/teacher.
Online Resources are available for PK through 5B at the publisher’s website, dimensionsmath.com. There’s no complicated set-up or log-in, just go to the website and print the blackline masters that you need. The blackline masters are used for various activities in the lessons. Other online resources include videos and music for PKA, PKB, and KA, projection images for classroom use, material lists, extra activities for students who need more practice or extra challenge, standards alignments, scope and sequence, and letters home for classroom teachers.
Tests are also available for evaluation of student progress.
Levels 7 and 8 of Dimensions Math have no teacher guide, as in previous grades. There are four books per semester at these levels: textbook, workbook, workbook solutions, and teaching notes and solutions. Textbooks are in color and include instruction directed to the student. Teaching Notes and Solutions offer a page of notes per chapter and full solutions to problems in the text – activities, “Try It,” Further Practice, Math@work, Brain Works, and Review exercises. Workbooks are black and white and offer more practice of the lesson concepts. Workbook Solutions are the fourth book and provides all workbook solutions. Levels 7 and 8 cover the topics found in the common core state standards. There are no tests for the 7 and 8 levels, but you could use the Review Exercise found at the end of the chapter as an assessment.
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 will be phased out. 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.
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.
Dimensions Math (7-8) is an updated and more colorful version that is now aligned to the CCSS. It’s also 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