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This is the translation from the Japanese textbook for the grade 10 course, "Basic Mathematics". The book covers the material which is a compulsory for Japanese high school students. The course comprises algebra (including quadratic functions, equations, and inequalities), trigonometric functions, and plane coordinate geometry.
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In Before It's Too Late: A Report to the Nation from the National Commission on Mathematics and Science Teaching for the 21st Century (2000) in the US, the authors quote from James Stigler's conclusions from various videotape research studies of mathematics teaching: “The key to long-term improvement [in teaching] is to figure out how to generate, accumulate, and share professional knowledge”. Japanese Lesson Study has proved to be one successful means.This book supports the growing movement of lesson study to improve the quality of mathematics education from the original viewpoints of Japanese educators who have been engaging in lesson study in mathematics for professional development and curriculum implementation. This book also illustrates several projects related to lesson study in other countries.
"This is the translation from the Japanese textbook for the grade 11 course, "General Mathematics". It is part of the easier of the three elective courses in mathematics offered at this level and is taken by about 40% of students. The book covers basic notions of probability and statistics, vectors, exponential, logarithmic, and trigonometric functions, and an introduction to differentiation and integration."--Publisher.
In the early twentieth century, a massive undertaking to rid mathematics of all paradoxes and inconsistencies was underway. Known as Hilbert's program, it sought to provide an unshakable foundation for all of mathematics. Things seemed to be proceeding well until young Kurt Godel stunned the world by proving that Hilbert's goals were unobtainable, that contradiction was part of the warp and weave of any mathematical system. Yet what at the time seemed to be a fatal blow to mathematical consistency now forms the basis of modern logic. Godel's incompleteness theorems are often misunderstood to be a statement of the limits of mathematical reasoning, but in truth they strengthen mathematics, building it up to be more powerful than what had come before. In this third book in the Math Girls series, join Miruka and friends as they tackle the basics of modern logic, learning such topics as the Peano axioms, set theory, and diagonalization, leading up to an in-depth exploration of Godel's famous theorems. Along the way, visit other interesting and important topics such as trigonometry and the epsilon-delta definition of limits, and of course take on challenges from the enigmatic Mr. Muraki. Math Girls 3: Godel's Incompleteness Theorems has something for anyone interested in mathematics, from advanced high school students to college math majors and educators."
This engaging book offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), renowned mathematics education scholar Akihiko Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Takahashi showcases TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country. Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators.
Abacus Mind Math Instruction Book Level 1 (for teachers and parents): Goal for Level - 1 Addition - without carryover problems Subtraction - without borrowing problems Topics covered: Basics of abacus How to do mind math How to do dictation 5 exchange concepts explained in detail with examples Skill building activities explained Instruction book includes: Examples for each concept with detailed pictures and steps by step instruction on how to calculate and what to tell your students while teaching. Theory behind the formulas explained in simple terms. Over 380 sample problems for teachers and parents to practice the concepts. These sample problems can be used to introduce your child to the concept with effortless ease. Instruction on how to effectively introduce children to mind math with ways to build the skill. Dictation - a very important aspect of abacus training is explained with useful ideas to achieve. Skill building activities are explained that help you train your child. Common mistakes made by students with ways to help them avoid making these mistakes are outlined. Corresponding practice work for children is given in the two workbooks that are sold separately under the following titles. " Abacus Mind Math Level 1 Workbook 1: Excel at Mind Math with Soroban, a Japanese Abacus Abacus Mind Math Level 1 Workbook 2: Excel at Mind Math with Soroban, a Japanese Abacus " Soroban, the Japanese abacus is a very useful visual tool that helps children 'see' numbers as beads while calculating. Soroban perfectly fits with the base 10 number system used at present and provides a systematic method (formulas) to follow while calculating both on the tool and in the mind. Mastering of this tool will enhance your child's basic math comprehension, speed and accuracy. In general, when children practice mind math, they get a very important sense of achievement that helps raise their confidence as students. You can also see an improvement in their concentration, tenacity, memory power and listening skills.