Dimensions Mathematics Teaching Notes and Solutions 7A
The Dimensions Mathematics is a remake of the original Discovering Mathematics. This course follows the Singapore Mathematics framework while also covering topics in the Common Core State Standards. The revision is currently in progress, with grade 6 being developed to accompany grades 7 and 8 courses. The 6A textbook provides a place to go after finishing 5B in the Primary Math CCSS edition and is the bridge to levels 7 and 8 content. Currently, the 6A and 6B textbooks are only available-contact us for availability of other grade 6 components. Some new topics have been added and others have been rearranged between levels: some US measurement is included (metric is still dominant) and terminology reflects the more common US usage and spelling. Some of the additional topics are in the areas of numbers and operations, solutions of linear equations and inequalities, graphs of linear functions and relations, measurement, and data analysis. Some topics that were once found in books 1 and 2 of the original Discovering Mathematics series are now found in grade 8 of Dimensions Mathematics, but no topics have been removed. Students completing Dimensions Math 8 should be prepared for second-year algebra or geometry at the high school level.
Textbooks for this series are full color and chapters are divided into lessons. The amount of time you take for each lesson is not indicated, but you will want to finish one textbook per semester. Each chapter begins with an introduction to the concept or topic and lists the learning outcomes for the chapter. Each lesson includes an explanation with examples for the topic or concept, and "Try It", which is a question similar to the example. A variety of side notes are found in the margins. For example, "Math Web" includes a link for additional information, "Remarks" lists key learning points, "Recall" asks students to remember earlier presented content, "Discuss" is a thinking question related to the topic, and "Math Bits" states an interesting fact related to the topic. You will find an exercise for every lesson that includes "Basic Practice" (direct application of the concept), "Further Practice" (more challenging questions with application of concepts), "Math@Work" (practice with integrated concepts in practical situations), and "Brainworks" (higher order thinking questions that involve an open-ended approach to problem solving). Occasionally a "Class Activity" introduces new concepts through cooperative learning methods. At the end of each chapter you will find "In a Nutshell," which summarizes important rules and concepts from the chapter for easy review; a "Review Exercise" that offers a variety of integrated questions for students to apply chapter concepts; "Extend Your Learning Curve" that offers an opportunity for individual research; and "Write in Your Journal" that offers questions for reflection on chapter content. An answer key is found at the back of the book.Students will begin using a calculator (TI-30Xa is used for examples) and the Geometer Sketchpad (item # 034839)
Workbooks offer additional practice for each lesson and include Basic, Further, Challenging, and Enrichment sections the latter being the most challenging problems. Answers are listed in the back of the workbook for your convenience. If you would like more complete, worked solutions to the problems in the workbook, a Workbook Solutions book is available with fully worked solutions for all the workbook problems.
Teaching Notes & Solutions offer fully worked solutions for "Try It", "Class Activity", "Basic Practice", "Further Practice", "Math@Work", and "Brainworks" exercises found in the textbook, as well as the "Review Exercise" for each chapter. The teaching notes are found in the front section of this book. It includes a suggested approach for each chapter and a brief suggestion (about a paragraph) for each lesson and what the student should gain from the lesson. I read on the publishers website that there is a weekly schedule found in this book, but I can find it nowhere. There are just the very brief teacher notes for each chapter and solutions. There are no tests written for this new edition, but you could use your chapter reviews for assessment purposes.
Keep up with the standards and teach good, solid math concepts with Dimensions Mathematics. ~ Donna/Deanne
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
6 months ago
over 2 years ago
over 4 years ago
I would be very interested in an actual Teacher's Manual, something along the lines of the HIGs that Singapore has put out for Primary Math.
over 4 years ago