ARITHMETIC, GEOMETRY, ALGEBRA, and PRE-CALCULUS
TEXTBOOKS


CRITICAL THINKING APPROACH to
GEOMETRIC and MEASUREMENT TOPICS

Units 5 - 8


   

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ABOUT THIS TEXT

The Text Critical Thinking Approach to Geometry & Measurement Topics is recommended by Colleges, Universities, Secondary Schools, Home Schoolers, and Self Study Students because it emphasizes understanding, learning, and relearning of mathematical concepts as opposed to memorization. This practical course in Geometry fosters Student Success and enables the Teaching of math concepts because of the extra amount of time allowed to master these needed concepts.

Critical Thinking Approach to Geometry & Measurement Topics contains the curriculum for a year Geometry math course normally taught in 10th grade or in a review sequence in college. This practical course in geometry presents all the theorems needed for college or university math courses. Many students struggle with geometry through no fault of their own. Over stress on proving theorems in geometry courses has caused many students to have a frustrating experience that can result in a loss of self-confidence. Critical Thinking Approach to Geometry & Measurement Topics features a comprehensive, step-by-step approach that simplifies complex concepts by breaking them up into bite- size pieces, using high quality illustrations, and providing real-life examples. Geometric facts are presented first leaving the proofs until after the concepts are understood. The mathematics is presented in an understandable way in order to maximize success in this course. The Geometry & Measurement Topics Text in the Arithmetic to Algebra through Pre-Calculus Series contains all necessary topics needed to understand Beginning Algebra. The complete Table of Contents for this text is presented at the bottom of this web-page.

There is also a growing case for Teaching Geometry before Algebra; new research (based on the findings of Piaget, Montessori, Snow, and Thompson) indicate that when adolescents learn patterns and objects first they understand the focus of Geometry; learning the facts of geometry is more concrete and easier than the abstract code found in algebraic algorithms.

For students pursuing a degree, even in mathematics or science, the geometry presented in this text will be sufficient for them to successfully complete their degree program. All of the necessary geometry is presented in an understandable way in order to maximize success in this course.

This semester text, along with the semester text Critical Thinking Approach to Competency Arithmetic forms the curriculum for a year of Pre-Algebra math course normally taught in 8th or 9th grade or as the first course in a review sequence in college.




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Each Section of Geometric and Measurement Topics is followed by 4 sets of exercises: Exercises for Vocabulary (for reading and vocabulary development), Exercises for Computation (regular drill and practice exercises), Exercises for Understanding (to develop critical thinking skills), and a Self-Test. The Instructor's Manual contains Problems for Problem Solving (a collection of problems from science and industry applicable to the topics in that Unit.

Available with Critical Thinking Approach to Geometric and Measurement Topics Is an Instructor's Manual and a Test Kit. Answers for some of the odd numbered exercises appear at the end of the student text while the complete answers appear in the Instructor's Manual.

Because of the emphasis on understanding, this is an outstanding text for teaching geometric concepts.


The Instructor's Manual contains teaching and testing hints, possible schedule, the student copies for Problems for Problem Solving, and all answers to the Critical Thinking Exercises (Exercises for Understanding and Problems for Problem Solving).

The Test Kit contains a Placement Test, 4 Criteria Referenced Unit Tests (one for each Unit), and a Final. All tests have been developed using the suggestions and guidance of the University of Chicago Testing Department. These multiple-choice tests are designed to test mastery of the content by students.



DOING HOMEWORK FROM GEOMETRIC AND MEASUREMENT TOPICS


TESTIMONIALS and CUSTOMER COMMENTS

"I was very pleased to find a Unit on logic in this text; this very important topic is not included in traditional texts. Introducing mathematical logic (the same as that used in electronics to program computers) at this level not only gives students an understanding and use of a powerful tool in science, but gives them advanced preparation for life in the computer age."

"I was not aware that College Entrance Exams and Calculus did not require a full year of geometry in order to be able to complete these successfully."

"Teaching geometry from a practical viewpoint first makes a large difference in a student's ability to understand this subject. I was glad to learn that there is NO X-step proof; that proofs should only be as long as needed to convince the audience. The number of steps doesn't matter."

"Our school has enjoyed great student success using Critical Thinking Approach to Geometric and Measurement Topics. The attitudes of our students improved which we had not expected."

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THE TEXTS FOR GEOMETRIC AND MEASUREMENT TOPICS






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Title: Critical Thinking Approach to Geometric and Measurement Topics Student Text
ISBN # 1-888679-01-8  Code 5200 Subject: Geometry, Logic, & Statistics
Authors: Melvin Poage, Carl Arendsen, Delano Wegener 
Binding: Soft cover 254 pages Price: $21.50 

Title: Instructor's Manual for Critical Thinking Approach to Geometric and Measurement Topics with Complete answers 
ISBN # 1-888679-11-5 Code 5210 Subject: Geometry, Logic, & Statistics
Authors: Melvin Poage, Carl Arendsen, Delano Wegener
Binding: Soft cover  79 pages Price: $9.50 

Title: Test Kit for Critical Thinking Approach to Geometric and Measurement Topics
Placement Test, 4 Criteria Referenced Unit Tests, and a Final Test 
ISBN # 1-888679-21-8  Code 5220  
Author: Melvin Poage
Binding: 24 loose pages in Shrink Pa Price: $4.50

 

Title: Critical Thinking Approach to Geometric and Measurement Topics 
Student Text, Instructor's Manual andTest Kit 
Code 5240 Price: $34.00 

 
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TABLE OF CONTENTS for Critical Thinking Approach to Geometric and Measurement Topics

UNIT 5 GEOMETRY
SECTION A  POINT, LINE AND PLANE
SECTION B ANGLES AND LINES
SECTION C  TRIANGLES
SECTION D POLYGONS AND CIRCLES
SECTION E CONGRUENT AND SIMILAR TRIANGLES
   
UNIT 6 METRIC MEASUREMENT 
SECTION A MEASUREMENT PROCESS
SECTION B  LENGTH
SECTION C VOLUME
SECTION D AREA
SECTION E CAPACITY, TEMPERATURE, AND WEIGHT
   
UNIT 7 LOGIC
SECTION A  REASONING OF MAN
SECTION B  SETS
SECTION C MATHEMATICAL LOGIC
SECTION D  LOGIC PROOF 
SECTION E  DEDUCTIVE SYSTEM OF GEOMETRY 
   
UNIT 8 DATA MEASUREMENT
SECTION A TABLES
SECTION B  BAR GRAPHS 
SECTION C CIRCLE GRAPHS AND PICTOGRAPHS
SECTION D BROKEN AND CONTINUOUS GRAPHS
SECTION E MEASURES OF CENTRAL POSITION
SECTION F MEASURES OF VARIATION
   
ANSWERS TO ODD NUMBERED EXERCISES 
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