Series Overview

The Curriculum

The Dimensions Math® PK-5 series is designed to better serve U.S. teachers and students. We’ve updated aspects of Singapore math curriculum for clarity and relevance, while preserving the solid foundation that makes it unique. The series follows the principles outlined in the Singapore Mathematics Framework and uses the Concrete > Pictorial > Abstract approach. The curriculum also incorporates Singapore mental math strategies and model drawing.

In the Dimensions Math program, concepts are introduced and explained in a new format with vibrant imagery. The implementation of this curriculum suits today’s needs, while the progression and scope that define Singapore math remain intact. The role of the educator is very important in this curriculum.


Textbook lessons build on prior knowledge, and develop familiar concepts in an accessible way.

Workbooks offer independent practice while maintaining the careful progression of exercise variation.

Teacher’s guides include suggested teaching notes and activities for the whole class and small groups to achieve lesson objectives.


Throughout the series, five characters offer suggestions on how to think about problems, remind students of strategies they’ve learned, and point out important information to encourage students to come up with their own solutions. Lessons begin with a problem for students to solve, setting the stage for discussion. Students who need additional support can spend more time working with manipulatives or using other strategies as outlined in the Teacher’s Guide, while teachers can listen for common misunderstandings and encourage students to solve problems in various ways until they internalize concepts.

In Dimensions Math Textbook 1B Chapter 17 Lesson 7, students learn to subtract from tens. The lesson opens with a Think activity, which uses everyday objects (or manipulatives) to get students to think concretely about the concepts. The Teacher’s Guide explains how to remind students of relevant previously learned knowledge. After spending some time with hands-on activities or word problems, the lesson progresses to the Learn portion, in which students see a pictorial representation directly related to the concrete phase of the lesson. Students will continue to make connections to the illustrations, manipulatives, and the numbers while they fully explore the expression 70−6.

Once students have mastered a concept with the use of concrete and pictorial aids, they are ready to take on more abstract mathematical problem sets. They reach fluency by collecting various strategies along the way.

Finally, students work through word problems that give them a sense of real-world application of math. Students use the strategies they learned in earlier phases to both understand and solve these problems.

Nearly all lessons have a corresponding workbook exercise, which extends independent practice of mathematical concepts.


In Dimensions Math Workbook 1B, the corresponding exercise for Chapter 17 Lesson 7 starts with simpler problems and progresses to more challenging problems. A thoughtful progression pattern followed throughout the series covers the fundamental concepts, offers practice exercises with pictorial representations, and challenges students with abstract exercises.

Teacher’s Guides

  • Think offers structure for teachers to guide student inquiry. Provides various methods and activities to solve initial textbook problems or tasks.
  • Learn guides teachers to analyze student methods from Think to arrive at the main concepts of the lesson through discussion and study of the pictorial representations in the textbook.
  • Do expands on specific problems with strategies, additional practice, and remediation.
  • Student textbook pages allow teachers to follow along with the class. Answers for student problems are printed in the Teacher’s Guides with further explanations where needed.
  • Extend provides ideas and activities to challenge the high achievers in the classroom.
  • Small group activities allow students to work with each other and have fun.

Pre-K and K Teacher’s Guides contain age-appropriate content exploration and activities.


Meet our team

The Dimensions Math curriculum was written by teachers and professional development providers with more than 100 years of combined experience in Singapore math. They have firsthand knowledge of what works well and what can be challenging in that environment.

The result of their collaboration is a curated sequence of lessons that allows teachers to give their students the best elementary math education possible.

Jenny Kempe

Jenny Kempe has worked for Singapore Math Inc. since 2001 when she wrote the first Home Instructor Guides after using the program with her children. Since then, she has written and reviewed numerous textbooks, workbooks, supplemental books, and guides for Singapore math programs for U.S. educators.

Bill Jackson

Bill Jackson was one of the first teachers in the U.S. to implement Singapore math. He has over 30 years of classroom experience as a teacher, math coach, and academic director. Bill has written Singapore math textbooks, and conducts international math trainings.

Tricia Salerno

Tricia Salerno started using Singapore math in her Phoenix classroom in 2002. She founded SMARTTraining and has helped hundreds of schools around the world implement the materials.

Dr. Richard Askey

Dr. Richard Askey is Professor Emeritus at the University of Wisconsin-Madison. Dr. Askey became interested in Singapore mathematics education in 1998. He has served as a consultant on several Singapore math textbook series over the past twenty years and is the principal consultant for the Dimensions Math® PK–5 series.

Pearly Yuen

Pearly Yuen has taught preschoolers for 20 years in Singapore. She brings math learning into routine activities like mealtime and playtime. Pearly is fascinated by how the model approach provides a way of solving challenging problems even before the introduction of algebra.

Cassandra Turner

Cassy Turner is a teacher, trainer, author, and acclaimed presenter who has been passionate about Singapore math since 2002. Through her projects, Math Champions Professional Development and, Cassy helps schools and teachers make every child a competent math student.

Allison Coates

Allison Coates founded the nonprofit Math Walk Institute in 2010 to help parents, teachers, and schools ensure student success with algebra. She is a strong proponent of Singapore math, encouraging teachers across the country to bring the curriculum to their students. Allison has an S.B. from MIT and M.S. from the University of California, Berkeley.

Beth Curran

Beth Curran began working with Singapore math in 2013 as a teacher and leader specializing in elementary math. She has since become a trainer and coach, partnering with dozens of schools and districts sharing her passion for the topic, especially thinking about math instruction on a deeper level.

Dr. Leslie Arceneaux

Dr. Leslie Arceneaux has more than 20 years of teaching students from Pre-K to graduate level. She has used Singapore math strategies to inform her own classroom practice, train other teachers, and develop materials to support students.

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