Visible Thinking in Mathematics 5B 3rd Edition

SKU
053428
ISBN
9789814736312
Grade 5
Teaching Method
Traditional
Teacher-centered curriculum commonly used in classrooms that may include a text, teacher manual, tests, etc.
Charlotte Mason
A methodology based on the work of a 19th century educator who maintained that children learn best from literature (Living Books), not textbooks.
Classical
A methodology based on the Latin Trivium (three stages of learning), including the grammar stage (memorization and facts), logic stage (critical thinking), and rhetoric stage (developing/defending ideas).
Unit Study
A thematic or topical approach centered around one topic that integrates multiple subject areas.
Montessori (Discovery)
A methodology based on the work of a 20th century educator that emphasizes student and sensory-driven discovery learning and real-life applications.
Other
Other methodologies
Religious Content
Secular
Contains content contrary to common Christian beliefs (i.e. evolution).
Neutral
Avoids religious or theoretical topics or presents multiple viewpoints without preference.
Christian/Religious
Faith-based or including instructional religious content.
Learning Modality
Auditory
Learns through listening, talking out loud or reading out loud.
Visual
Learns through seeing, prefers written instructions and visual materials.
Kinesthetic/Tactile (Hands-On)
Learns through moving, doing and touching.
Multi-Sensory
Curriculum that employ a variety of activities/components.
Presentation
Sequential
Curriculum progresses through well-defined learning objectives. Emphasizes mastery before moving to the next topic.
Spiral
Topics and concepts are repeated from level to level, adding more depth at each pass and connecting with review.
Conceptual/Topical
Focus is on the “why,” often with a unifying concept as well as specific skills; coverage may be broader.
Teacher Involvement
Low Teacher Involvement
Student-led materials; parent acts as a facilitator.
Medium Teacher Involvement
A mix of teacher-led time and independent student work.
High Teacher Involvement
Teacher-led lessons; may utilize discussions, hands-on activities and working together.
Additional Materials Required
No other materials needed
Everything you need is included.
Other Materials Required
There are additional required resources that are a separate purchase.
Other Materials Optional
There are additional resources mentioned or recommended but are not absolutely necessary.
Consumable
Consumable
Designed to be written in; not reusable.
Non-Consumable
Not designed to be written in; reusable.
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Description
Publisher's Description of Visible Thinking in Mathematics 5B 3rd Edition

Visible Thinking in Mathematics is a series of eleven supplementary books that promotes critical and creative thinking in mathematics. It is designed to help make thinking visible by providing the child with opportunities to think, explore and reflect.

While practice leads to better performance, practice without contextual and conceptual understanding prevents the child from thinking critically and creatively. In this series, instead of learning procedures and formulas by rote, the child masters concepts through:

Thinking routines: functional questions to direct the child's thinking on key concepts and cultivate the child's thinking skills.

Parallel questions: consecutive mathematical problems with the same context but different key words to highlight differences between problems; ensuring that the child understands and retains concepts and skills better.

This approach not only instills in the child mathematical skills but also inspires discipline in thinking and greater motivation for learning.

Additional support is provided to the child through Notes. Notes present opportunities for parents and teachers to clarify misconceptions, simplify difficult concepts and address areas of difficulty for the child.

Answers are in the back of each book.

Note: This series has not been revised for U.S. usage. Currency images in the money chapters at the lower levels are Singapore coins and bills. Also, only metric measurement units are used.

Category Description for Singapore Math Programs

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.


Category Description for Visible Thinking In Mathematics

What is visible thinking? In this case, to think visibly means that you can easily see or visualize something in your head. This skill, of course, is vital to the study of mathematics - you must be able to make the leap from pictorial representations to abstract ideas. Sometimes, this leap is difficult which makes learning math extremely frustrating. These resource books focus on the pictorial stage and helping the student move from the pictorial to the abstract stage of mathematical thinking. It is meant to be used as a supplement and not a replacement for Singapore Math Primary Math. While it is less than a complete program, the content is fairly comprehensive and would be good for students having trouble with math or for re-teaching concepts.

Please note these books are transitioning to the 3rd edition, which is based on the newest Primary Maths (MOE) syllabus. New editions include US money, but retain metric measurements. The 2nd editions may depict Singapore coins and bills in the early grades and use metric units throughout. Books range from 115-224 pgs.


This series consists of 11 consumable books, two semesters each for Grades 1-5 and one book for Grade 6. The books are a blend of both teacher and student books. Each lesson within a chapter consists of 2 types of pages Thinking Platform and Attaining Mastery. Both teacher and student should go through Thinking Platform pages together. This is where the math concept is introduced, examples worked, and constructive mathematical thinking is modeled. It is highly suggested that the teacher preview the lesson by reading the Notes provided at the bottom of the Thinking Platform page. These concise yet descriptive notes point out teaching tips, common errors, and areas of difficulty. Attaining Mastery pages follow the Thinking Platform. Here, the student can practice new skills on a series of problems that feature Parallel Questions. Parallel Questions are actually a series of similar yet different math questions which are strategically presented so that the differences between the questions either solidify concept understanding or provide opportunities to clarify fuzzy thinking. Answers are provided in the back of the book.~ Anh

Details
More Information
Product Format:Softcover Book
Brand:Marshall Cavendish Education
Grade:5
ISBN:9789814736312
Length in Inches:11
Width in Inches:8.5
Height in Inches:0.4375
Weight in Pounds:1.1
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