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BASIC WFF'N PROOF: A TEACHING GUIDE
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CC BY-NC-ND
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A teaching guide for teachers to instruct students in the gaming rules and procedures for Basic Wff'n Proof. This game teaches symbolic logic and problem solving. The content is an overview of the game of Wff'n Proof for interested coaches.

Subject:
Mathematics
Material Type:
Game
Date Added:
10/23/2012
CK-12 Foundation and Leadership Public Schools, College Access Reader: Geometry
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CC BY-NC-SA
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This book is a "flexed" version of CK-12's Basic Geometry that aligns with College Access Geometry and contains embedded literacy supports. It covers the essentials of geometry for the high school student.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Fauteux, Michael
Zapata, Rosamaria
Date Added:
05/18/2011
CK-12 Texas Instruments Geometry Student Edition
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CC BY-NC-SA
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CK-12 Foundation's Geometry FlexBook is a clear presentation of the essentials of geometry for the high school student. Topics include: Proof, Congruent Triangles, Quadrilaterals, Similarity, Perimeter & Area, Volume, and Transformations.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
10/06/2009
Foundation and Leadership Public Schools, College Access Reader: Geometry - Lesson Plans and Exams
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CC BY-NC-SA
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A structured geometry program teacher edition of daily lesson plans and teacher supports to accompany the College Access Reader: Geometry student edition.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Fauteux, Michael
Zapata, Rosamaria
Date Added:
05/18/2011
Generalizing Patterns: The Difference of Two Squares
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CC BY-NC-ND
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This lesson unit is intended to help you assess how well students working with square numbers are able to: choose an appropriate, systematic way to collect and organize data, examining the data for patterns; describe and explain findings clearly and effectively; generalize using numerical, geometrical, graphical and/or algebraic structure; and explain why certain results are possible/impossible, moving towards a proof.

Subject:
Algebra
Geometry
Mathematics
Measurement and Data
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Geometry - Edicion Espanola (Student's Edition)
Conditional Remix & Share Permitted
CC BY-NC-SA
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CK-12 Foundation's Geometry FlexBook is a clear presentation of the essentials of geometry for the high school student. Topics include: Proof, Congruent Triangles, Quadrilaterals, Similarity, Perimeter & Area, Volume, and Transformations.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
11/23/2010
Geometry - Pythagoreom Theorem (Student's Edition)
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CC BY-NC-SA
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This stand-alone module examines the history, applications, and various proofs of the Pythagorean Theorem. The module also includes student activities and exercise problems. The module assumes the reader has a basic geometry background.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Sheng, Joy (Editor)
Swenson, Laura
Date Added:
11/08/2010
Geometry - Second Edition (Student's Edition)
Conditional Remix & Share Permitted
CC BY-NC-SA
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CK-12's Geometry - Second Edition is a clear presentation of the essentials of geometry for the high school student. Topics include: Proofs, Triangles, Quadrilaterals, Similarity, Perimeter & Area, Volume, and Transformations.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Dirga, Kathryn
Jordan, Lori
Date Added:
11/16/2010
Geometry (Teacher's Edition)
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CC BY-NC-SA
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CK-12 Geometry Teacher's Edition covers tips, common errors, enrichment, differentiated instruction and problem solving for teaching CK-12 Geometry Student Edition. The solution and assessment guides are available upon request.

Subject:
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Kershaw, Jem
Kramer, Melissa
Zwack, Teresa
Date Added:
06/25/2011
How We Got from There to Here: A Story of Real Analysis
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CC BY-NC-SA
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The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to the rigorous but highly non-intuitive definitions and proofs found in analysis.

This book proposes that an effective way to motivate these definitions is to tell one of the stories (there are many) of the historical development of the subject, from its intuitive beginnings to modern rigor. The definitions and techniques are motivated by the actual difficulties encountered by the intuitive approach and are presented in their historical context. However, this is not a history of analysis book. It is an introductory analysis textbook, presented through the lens of history. As such, it does not simply insert historical snippets to supplement the material. The history is an integral part of the topic, and students are asked to solve problems that occur as they arise in their historical context.

This book covers the major topics typically addressed in an introductory undergraduate course in real analysis in their historical order. Written with the student in mind, the book provides guidance for transforming an intuitive understanding into rigorous mathematical arguments. For example, in addition to more traditional problems, major theorems are often stated and a proof is outlined. The student is then asked to fill in the missing details as a homework problem.

Subject:
Mathematics
Material Type:
Activity/Lab
Textbook
Provider:
Milne Publishing
Author:
Eugene Boman
Robert Rogers
Date Added:
02/18/2014
Introduction to Algorithms
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CC BY-NC-SA
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This course is an introduction to mathematical modeling of computational problems, as well as common algorithms, algorithmic paradigms, and data structures used to solve these problems. It emphasizes the relationship between algorithms and programming and introduces basic performance measures and analysis techniques for these problems.

Subject:
Applied Science
Computer Science
Engineering
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Demaine, Erik
Ku, Jason
Solomon, Justin
Date Added:
02/01/2020
Linear Algebra
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CC BY-NC-SA
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We believe the entire book can be taught in twenty five 50-minute lectures to a sophomore audience that has been exposed to a one year calculus course. Vector calculus is useful, but not necessary preparation for this book, which attempts to be self-contained. Key concepts are presented multiple times, throughout the book, often first in a more intuitive setting, and then again in a definition, theorem, proof style later on. We do not aim for students to become agile mathematical proof writers, but we do expect them to be able to show and explain why key results hold. We also often use the review exercises to let students discover key results for themselves; before they are presented again in detail later in the book.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Author:
Andrew Waldon
David Cherney
Tom Denton
Date Added:
01/01/2016
Mathematical Reasoning: Writing and Proof, Version 2.1
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CC BY-NC-SA
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Mathematical Reasoning: Writing and Proof is designed to be a text for the first course in the college mathematics curriculum that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of the text are to help students:

· Develop logical thinking skills and to develop the ability to think more abstractly in a proof oriented setting.

· Develop the ability to construct and write mathematical proofs using standard methods of mathematical proof including direct proofs, proof by contradiction, mathematical induction, case analysis, and counterexamples.

· Develop the ability to read and understand written mathematical proofs.

· Develop talents for creative thinking and problem solving.

· Improve their quality of communication in mathematics. This includes improving writing techniques, reading comprehension, and oral communication in mathematics.

· Better understand the nature of mathematics and its language.

This text also provides students with material that will be needed for their further study of mathematics.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Grand Valley State University
Author:
Ted Sundstrom
Date Added:
06/01/2014
Measure, Integration & Real Analysis
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CC BY-NC
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This book seeks to provide students with a deep understanding of the definitions, examples, theorems, and proofs related to measure, integration, and real analysis. The content and level of this book fit well with the first-year graduate course on these topics at most American universities. This textbook features a reader-friendly style and format that will appeal to today's students.

Subject:
Mathematics
Material Type:
Textbook
Author:
Sheldon Axler
Date Added:
06/10/2020
Proof Writing Progression
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CC BY-NC-SA
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Students engage in a competitive group relay to construct formal proofs involving triangles.

New proofs can always be written to fit different curriculum and pacing.

Subject:
Mathematics
Material Type:
Activity/Lab
Date Added:
10/18/2018
Trigonometry - TI Activities (Student's Edition)
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CC BY-NC-SA
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CK-12's Texas Instruments Trigonometry Student Edition Flexbook is a helpful companion to a trigonometry course, providing students with more ways to understand basic trigonometric concepts through supplementary exercises and explanations.

Subject:
Mathematics
Trigonometry
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Jordan, Lori
Date Added:
12/14/2010
Trigonometry - TI Activities (Teacher's Edition)
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CC BY-NC-SA
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CK-12's Texas Instruments Trigonometry Teacher's Edition Flexbook is a helpful companion to a trigonometry course, providing students with more ways to understand basic trigonometric concepts through supplementary exercises and explanations.

Subject:
Mathematics
Trigonometry
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Jordan, Lori
Date Added:
12/21/2010