Reviews (2)

Good review book
This SparkNotes book teaches you every concept you need to know, from arithmetic, algebra, geometry, statistic to trigonometry and miscellaneous (PreCalculus concepts). Although the lecture is quite boring, it contains every detail that can possibly appear on the test (even weird stuff such as "relatively prime numbers"). This book is especially useful if you skip classes or need to review concepts you've learned. It only offers 3 practice tests, so if you know most of the concepts and just want to practice, the Barrons How to prepare for the SAT II Math IIC maybe a better options.

SAT II Math IIC by Sparknotes
I was tutoring my daughter to get a better SAT II score. I did not like Baron's review much, because it was not detailed enough. Also the tests were much more complex than the real test. I think Kaplan's is better than Baron's; tests had more adequite complexity level. My daughter got 650 on the test after going through Kaplan's and I think it was a fair score for her. However as we wanted a better score we bought the Sparknotes review.
Main disadvantage of Sparknotes is a lot of errors. Quite a few of them can be very misleading if a student tries to study by himself and is not very in his math knowledge. Some of the errors made me doubt, that whoever put review together had a solid math background. In our situation errors were not a problem as I know math well enough to correct them. I feel that the authors did a very good job finding information needed for the SAT II and this makes this book a good resource for the teachers/tutors (better than the other 2 guides.) However I doubt that it is a very good resource a student studing by himself.
I wish whoever put this book together hires some qualified editor to clean up the errors. Then this book will be really helpful. I gave this book 4 * just because I was not able to find a better SAT II book on the market. ... Read more

Book Description

This study guide targets teacher competencies and skills for Math. You read four years of material between the covers of one study guide. Regardless if your test is multiple choice or essay format you will have ample material to reflect upon to do well on these formats.

The majority of XAM study guide have 125 question multple choice sample tests. The quwstions are medim to hard in difficulty dut reasonable for a trained teacher candidate to answer. Since the questionns do highly resemble the real test we are frequently asked if they are former tests. They are not. If any question from our book appears on the test it would be a coincidence.

XAM Publishing, INC. has e-mail support at winwin1111@aol.com. XAM staff welcomes your updates and values your input. Each year a new version of the study guide is released so you may have the best in educational research. ... Read more

Reviews (3)

Great Tool For It's Purpose
This book's purpose is to prepare future Florida Educators for taking the FTCE Mathematics 6-12 examination. It does a great job of highlighting and providing examples of the material to be covered on the exam. In another review, the book is criticized for not teaching the material better. The book's purpose is to provide review, not instruction. It should be assumed that anyone taking the FTCE Math exam would have previously learned the majority of the material in college, and is purchasing this book as a refresher. My only recommendation would be to include two tests for practice instead of one.

could offer more
The high school MTEL prep is better than the middle school math prep book. But in both the preparation of topics and the explaination of why certain answers are correct and others are incorrect is uneven. Sometimes the explaination is good and other times it is a one sentence general statement with no details explaining why it applies.

It does give you Math problems, but that's all
I did order the book for preparation in taking the Praxis Mathematic Content Knowledge Exam (0061). The book is all math problems and the answers were well understood. My main concern was that it is a good book to review Math problems, but not math concepts. The Praxis exam is very focus on understanding math concepts. The book does not do well in that category. It is a good foundation, but not the Rosetta Stone I was looking for. ... Read more

Reviews (4)

Math as science, art and life
What's so truly impressive about Jacobs' book is the way in which he demonstrates that math is all around. His choice of subjects provides the reader with a broad introduction to the mathematical sciences, including geometry, probability, combinatorics, statistics, topology and more. More importantly, his examples and explanations make it relevant and fun.

Jacobs' writing is clear (which cannot be said for many books on math at any level) and his organization sweeps the reader right along. Though technically a textbook, this is excellent reading for anyone who's interested in learning about math. I read it in junior high school, and have re-read bits and pieces as I progressed through college and graduate school. His subjects are complex enough to merit rethinking, yet his explanations clear enough to be grasped by the first time reader.

Truly one of the great introductory math texts -- especially for those who think they don't need to know or can't understand math.

This book fosters true love of math.
I'm a 36-year old homeschooling mother who had done calculus in high school and college, and mechanically got some right answers, but never knew why. I hadn't bothered to slow down and notice the beauty and power of the language of mathematics. In his textbook, Mathematics: A Human Endeavor, Harold Jacobs smashed my lack of confidence into a million pieces. He showers the student with so much real-life relevance and humor, that even a slight amount of curiosity about the subject bears delicous fruit. Working through this book will convince any human being, of almost any age, that he or she is a born mathematician.

Best Introduction to Mathematics !
I stumbled across this book when I was 17 whilst rummaging in my school library. It was too late for me to use it as my workbook but I enjoyed reading it nevertheless. My sole regret was that had I found it earlier than I might have had success in teaching my fellow students the joys of mathematics. The book is beautifully designed with gorgeous graphics to demonstrate mathematical ideas. There are also wonderful cartoons that people on this side of the Atlantic may never get to see otherwise. This is the book (with its companion "Geometry") that I give all my nephews/nieces on their 10th birthday so that they may not claim that they were deprived of good maths tuition.

For women and others "afraid of math"
This is a wonderful way to learn mathematics. It makes simple things you thought you could never learn ... Read more

Book Description

Complex analysis is one of the most attractive of all the core topics in an undergraduate mathematics course. Its importance to applications means that it can be studied both from a very pure perspective and a very applied perspective. This book takes account of these varying needs and backgrounds and provides a self-study text for students in mathematics, science and engineering. Beginning with a summary of what the student needs to know at the outset, it covers all the topics likely to feature in a first course in the subject, including: complex numbers differentiation integration Cauchy's theorem and its consequences Laurent series and the residue theorem applications of contour integration conformal mappings and harmonic functions A brief final chapter explains the Riemann hypothesis, the most celebrated of all the unsolved problems in mathematics, and ends with a short descriptive account of iteration, Julia sets and the Mandelbrot set. Clear and careful explanations are backed up with worked examples and more than 100 exercises, for which full solutions are provided. ... Read more

Book Description

This is a book about using MuPAD in teaching undergraduate mathematics and solving undergraduate mathematics problems with MuPAD. The author explains basic principles of MuPAD commands and how to write simple programs or to develop interactive environments for teaching mathematics.The text gives a large number of useful examples from different areas of undergraduate mathematics developed by the author during his long teaching experience. All the book examples are published on the book website. Flash, SVG and JVX formats are used to display interactive and animated graphics. In addition, a great deal of supplementary material about MuPAD is available through the MathPAD Online website (www.mathpad.org), for which the book’s author is also the editor-in-chief. The second edition of this book has been completely rewritten to cover many new features of MuPAD. The large section covering mathematical graphics and animation is especially noteworthy. All the MuPAD code has been revised and tested with the use of MuPAD 3.0. ... Read more

Book Description

Swim, Bike, and Run your way to math success!

This innovative book offers a challenging athletic workout for anyone interested in building their math muscle. Games, puzzles, and other activities involve the reader in a contest which motivates math learning and appreciation.

An excellent resource for teachers, parents, math teams, and home schooling. ... Read more

Reviews (1)

Covering arithmetic, numbers and symmetry, and geometry
The collaborative effort of Judith D. Sally (Northwestern University) and Paul J. Sally, Jr. (University of Chicago), TriMathlon: A Workout Beyond The School Curriculum is an adventurous book of mathematic problems and puzzles to solve, and specifically created to especially to challenge students in the fifth through eighth grades. Problems and solutions covering arithmetic, numbers and symmetry, and geometry fill this inventive and challenging self-test resource. TriMathlon is especially recommended as a classroom curriculum development supplement, and would prove ideal for use with homeschool curriculums as well. ... Read more

Book Description

Now is a time of great interest in mathematics education. Student performance, curriculum, and teacher education are the subjects of much scrutiny and debate. Studies on the mathematical knowledge of prospective and practicing U. S. teachers suggest ways to improve their mathematical educations.

It is often assumed that because the topics covered in K-12 mathematics are so basic, they should be easy to teach. However, research in mathematics education has shown that to teach well, substantial mathematical understanding is necessary--even to teach whole-number arithmetic. Prospective teachers need a solid understanding of mathematics so that they can teach it as a coherent, reasoned activity and communicate its elegance and power.

This volume gathers and reports current thinking on curriculum and policy issues affecting the mathematical education of teachers. It considers two general themes: (1) the intellectual substance in school mathematics; and (2) the special nature of the mathematical knowledge needed for teaching. The underlying study was funded by a grant from the U.S. Department of Education.

The mathematical knowledge needed for teaching is quite different from that required by students pursuing other mathematics-related professions. Material here is geared toward stimulating efforts on individual campuses to improve programs for prospective teachers. This report contains general recommendations for all grades and extensive discussions of the specific mathematical knowledge required for teaching elementary, middle, and high-school grades, respectively.

It is also designed to marshal efforts in the mathematical sciences community to back important national initiatives to improve mathematics education and to expand professional development opportunities. The book will be an important resource for mathematics faculty and other parties involved in the mathematical education of teachers.

This series is published in cooperation with the Mathematical Association of America. ... Read more

Book Description

The Mathematical Association of America's Committee on the Undergraduate Program in Mathematics (CUPM) is charged with making recommendations to guide mathematical sciences departments in designing undergraduate curricula.Undergraduate Programs and Courses in the MathematicalSciences: CUPM Curriculum Guide 2004is based on four years of work, including extensive consultation with hundreds of mathematicians and more than one hundred members of partner disciplines.

Many recommendations in CUPM Guide 2004 echo those in previous CUPM reports, but some are new.In particular, previous reports focused on the undergraduate program for mathematics majors, although with a steadily broadening definition of the major. CUPM Guide 2004 addresses the entire college-level mathematics curriculum, for all students, even those who take just one course.It therefore provides both encouragement and support for conversations not only among mathematics faculty but also between mathematicians and faculty in other disciplines.

CUPM has not prescribed specific methods for implementation nor selected particular models of good practice.However, the online document Illustrative Resources for CUPM Guide 2004 gathers a variety of experiences and resources associated with these recommendations.These examples may serve as a starting point for departments considering enhancement of their programs.Pointers to additional resources, such as websites and publications, are also given. ... Read more

Book Description

As the title suggests, this technique employs visual elements in its exploration of the most graphic and least "forbidding" aspects of mathematics. The author observes that most people possess a direct vision that permits them to "see" only the smaller numbers. In addressing this difficulty, both for those who like recreational mathematics and for those who teach, he suggests a variety of methods: techniques of visualizing, dramatizing, and analyzing numbers that attract and retain the attention and understanding. Topics range from basic multiplication and division to algebra, encompassing word problems, graphs, negative numbers, fractions, and many other practical applications of elementary mathematics. 1964 ed. Answers to Problems.
... Read more

Reviews (2)

A Vision-ary Book on Math
For those not familiar with Sawyer's other books (*Prelude to Mathematics* -- also by Dover Press, and *Mathematician's Delight* -- by Penguin, but out-of-print), W. W. Sawyer was a Brit who excelled in making even the most opaque topic in mathematics understandable and clear to his many students and readers.

Sawyer's *Vision in Elementary Mathematics* adds to his sterling reputation. On the surface, *Vision* focuses on various topics in 'elementary' mathematics including: algebra, arithmetic, and geometry. A deeper look at this book reveals, however, that Sawyer's book goes well beyond rehashing basic concepts in math.

The focus in this book -- as the title *Vision* suggests -- is on helping both students and teachers have a stronger inuitive grasp of basic concepts of mathematics that many teachers tend to gloss over. As many people have experienced in their own education, mathematics is often treated as a mysterious, 'black box'-like subject. That kind of mindless and unthinking approach to mathematics teaching and learning tend to turn many people off to the subject. This ongoing tragedy in American education has been well researched by another excellent book, *Knowing and Teaching Elementary Mathematics* by Liping Ma.

Sawyer wrote this book in order to combat the unthinking approach to math education. The remedy he offers to that kind of approach is to encourage a deeper understanding of mathematics from relatively simple concepts like fractions, arithmetic, and number properties all the way up to polynomial equations. My favorite quote from this book, which is repeated in different forms, is: "We first try to make sure that we can see what the problem means - for if we do not understand the question, we have no hope of finding the answer." As this quote suggests, *Vision* focuses on helping people to truly UNDERSTAND what mathematical problems really mean.

*Vision* utilizes various techniques to help readers to have a deeper level of understanding of mathematics. Sawyer encourages people to develop some geometrical heuristics to help them grasp a problem. A great example of this is how Sawyer explains how to easily multiply and divide anything from numbers all the way up to polynomial algebraic equations using 'matrix'-like geometric concepts -- no mean feat!

Another great thing about *Vision* is that Sawyer encourages experimentation by students in this book. As many math-lovers know, you can't really learn mathematics without doing it. Sawyer not only encourages people to 'do' math but to experiment with it. By encouraging students to think about math problems in creative and novel ways -- and to not be afraid of making mistakes and, hopefully, learning from them -- *Vision* will help many math students to get a greater appreciation for the subject and will encourage them to be much more creative about the subject. Furthermore, by encouraging student to find out for themselves the whys and hows of a correct solution, *Vision* will encourage the kind of mentality one has to have to become a good mathematician or scientist.

In this regard, it should also be noted that Sawyer includes several exercises at the end of each chapter and includes ANSWERS at the end of the book for each and every question (very helpful for self-learning).

A surprising -- given its focus on 'elementary' mathematics -- benefit of this book is that it provides solid foundations for more advance topics in mathematics. *Vision* provides excellent foundations for number theory, linear algebra, calculus, trigonometry, and combinatorics. Another plus for this book is that Sawyer deliberately tries to emphasize the fact that mathematics -- at any level -- can be useful to real-life problems because mathematics underlies so much of what we see in the natural world.

Who should read this book? The obvious audiences are teachers and students of mathematics in anywhere from elementary school up to high school. This book would be especially helpful to home-schoolers who are interested in providing their kids with a solid grounding in mathematics that can be built upon when they attend university.

But those aren't the only people who should read this book. This book should be read by people who feel that they had an 'incomplete' education. People, like myself, who felt a bit cheated by the poor state of the educational system should definitely read this book no matter how confident (or un-confident) about their mathematical abilities.
This book can and should be read by advance students and teachers of mathematics in fields ranging from engineers to scientists (including professional mathematicians). Those advanced users of mathematics can use this book both for review and to get some additional insights into their chosen subject. I have no doubt that Sawyer has insights and creative approaches in *Vision* that will prove valuable to mathematicians at any level.

Finally, ANYONE interested in getting a 'profound understanding of fundamental mathematics' (often abbreviated PUFM in educational policy circles) for whatever reason MUST read this wonderful book. *Vision* perfectly fulfills Sawyer's vision of writing a book that helps people to look at mathematics in a novel way that will help them to have a deeper understanding and appreciation for mathematics.

A wonderful book by a wonderful author
I'm surprised that I'm the first person to review this great book by W. W. Sawyer. For those not familiar with Sawyer's other books (*Prelude to Mathematics* -- also by Dover Press, and *Mathematician's Delight* -- by Penguin, but out-of-print), W. W. Sawyer was a Brit who excelled in making even the most opaque topic in mathematics understandable and clear to his many students and readers.

Sawyer's *Vision in Elementary Mathematics* adds to his sterling reputation. On the surface, *Vision* focuses on various topics in 'elementary' mathematics including: algebra, arithmetic, and geometry. A deeper look at this book reveals, however, that Sawyer's book goes well beyond rehashing basic concepts in math.

The focus in this book -- as the title *Vision* suggests -- is on helping both students and teachers have a stronger inuitive grasp of basic concepts of mathematics that many teachers tend to gloss over. As many people have experienced in their own education, mathematics is often treated as a mysterious, 'black box'-like subject. That kind of mindless and unthinking approach to mathematics teaching and learning tend to turn many people off to the subject. This ongoing tragedy in American education has been well researched by another excellent book, *Knowing and Teaching Elementary Mathematics* by Liping Ma.

Sawyer wrote this book in order to combat the unthinking approach to math education. The remedy he offers to that kind of approach is to encourage a deeper understanding of mathematics from relatively simple concepts like fractions, arithmetic, and number properties all the way up to polynomial equations. My favorite quote from this book, which is repeated in different forms, is: "We first try to make sure that we can see what the problem means - for if we do not understand the question, we have no hope of finding the answer." As this quote suggests, *Vision* focuses on helping people to truly UNDERSTAND what mathematical problems really mean.

*Vision* utilizes various techniques to help readers to have a deeper level of understanding of mathematics. Sawyer encourages people to develop some geometrical heuristics to help them grasp a problem. A great example of this is how Sawyer explains how to easily multiply and divide anything from numbers all the way up to polynomial algebraic equations using 'matrix'-like geometric concepts -- no mean feat!

Another great thing about *Vision* is that Sawyer encourages experimentation by students in this book. As many math-lovers know, you can't really learn mathematics without doing it. Sawyer not only encourages people to 'do' math but to experiment with it. By encouraging students to think about math problems in creative and novel ways -- and to not be afraid of making mistakes and, hopefully, learning from them -- *Vision* will help many math students to get a greater appreciation for the subject and will encourage them to be much more creative about the subject. Furthermore, by encouraging student to find out for themselves the whys and hows of a correct solution, *Vision* will encourage the kind of mentality one has to have to become a good mathematician or scientist.

In this regard, it should also be noted that Sawyer includes several exercises at the end of each chapter and includes ANSWERS at the end of the book for each and every question (very helpful for self-learning).

A surprising -- given its focus on 'elementary' mathematics -- benefit of this book is that it provides solid foundations for more advance topics in mathematics. *Vision* provides excellent foundations for number theory, linear algebra, calculus, trigonometry, and combinatorics. Another plus for this book is that Sawyer deliberately tries to emphasize the fact that mathematics -- at any level -- can be useful to real-life problems because mathematics underlies so much of what we see in the natural world.

Who should read this book? The obvious audiences are teachers and students of mathematics in anywhere from elementary school up to high school. This book would be especially helpful to home-schoolers who are interested in providing their kids with a solid grounding in mathematics that can be built upon when they attend university.

But those aren't the only people who should read this book. This book should be read by people who feel that they had an 'incomplete' education. People, like myself, who felt a bit cheated by the poor state of the educational system should definitely read this book no matter how confident (or un-confident) about their mathematical abilities.

This book can and should be read by advance students and teachers of mathematics in fields ranging from engineers to scientists (including professional mathematicians). Those advanced users of mathematics can use this book both for review and to get some additional insights into their chosen subject. I have no doubt that Sawyer has insights and creative approaches in *Vision* that will prove valuable to mathematicians at any level.

Finally, ANYONE interested in getting a 'profound understanding of fundamental mathematics' (often abbreviated PUFM in educational policy circles) for whatever reason MUST read this wonderful book. *Vision* perfectly fulfills Sawyer's vision of writing a book that helps people to look at mathematics in a novel way that will help them to have a deeper understanding and appreciation for mathematics. ... Read more

Book Description

This exciting new volume takes a positive spin on the field of statistics.Statistics is seen by students as difficult and boring, however, the authors of this book have eliminated that theory.Teaching Statistics: A Bag Of tricks, brings together a complete set of examples, demonstrations and projects that not only will increase class participation but will help to eliminate any negative feelings toward the area of statistics. ... Read more

Book Description

100 ready-to-use lessons with reproducible activity sheets to support any intermediate math program

Each section in this valuable resource features detailed lesson plans, objectives, activity sheets, materials, lists, answer keys, and related activities that cover the basic concepts of six essential areas of the 4—6 math curriculum:

• Symmetry–from turn and flip to bilateral symmetry and tessellation
• Geometry–lines, angles, polygons, congruent figures, and more
• Measurement–from time duration and temperature to distance on a map and scale drawing
• Probability–such as likelihood, chance, fair games, Pascal’s Triangle, and more
• Statistics–including picture, bar, line, and circle graphs and methods of data collection
• Algebra–including patterns, equality, function, and variables

The lessons, which can be taught to the entire class or to small groups of students, are divided into levels of knowledge: Beginning Level activities introduce mathematical content and vocabulary; Learning Level activities reinforce content already introduced with hands-on, concrete materials; and Challenging Level activities ask students to use the content knowledge in a different way.

Each activity includes specific teacher directions for presenting the information, followed by reproducible worksheets to copy for the classroom. There’s also a unique appendix of teacher resources, including pictures, grids, tables, graphs, figures, and much more. These can be reproduced for teacher and student use, made into overhead transparencies, and are incorporated into many of the lessons–which means no more hunting for resources. Everything you need for your intermediate math program is here in this one-stop guide. ... Read more

Book Description

Multiple Perspectives on Mathematics Teaching and Learning offers a collection of chapters that take a new look at mathematics education. Leading authors, such as Deborah Ball, Paul Cobb, Jim Greeno, Stephen Lerman, and Michael Apple, draw from a range of perspectives in their analyses of mathematics teaching and learning. They address such practical problems as: the design of teaching and research that acknowledges the social nature of learning, maximizing the impact of teacher education programs, increasing the learning opportunities of students working in groups, and ameliorating the impact of male domination in mixed classrooms. ... Read more

Book Description

In this volume, Glaserfeld offers a theoretical account of radical constructivism. It is elegantly and thoroughly argued account of this epistemological position, providing a profound analysis of its concepts. The book traces two genealogies of the theory. The first is the constructivist strand in the history of philosophy from the pre-Socratic via Jean Piaget to the present. The second is his own intellectual biography, illustrating how a number of lines of thought became synthesized into radical constructivsm. Given its diverse roots, the first full articulation of the theory is likely to have an influence that extends beyond mathematics education. ... Read more

Reviews (1)

Understanding the difficulty with meaning
An excellent book. Von Glasersfeld very carefully builds up a conceptual notion of how humans acquire and modify their internal concepts of the world. After a careful summary of some leading historical thought in the area of meaning and constructivism, Prof. von Glasersfeld clearly shows the internal workings of how meaning is built up from experience and how we understand our meanings through continual negotation with the external world.

This is one of the few books that I have seen that actually discusses the idea of "re-presentation", or how one's memories are stored and re-presented when triggered by a stimulus, such as a word. It is definitely enlightening to think about the transfer of meaning in this way and how it informs about the inherent limitations of computer intelligence. ... Read more

Book Description

This unique resource provides 190 high-interest, ready-to-use activities to help students master basic math skills— including whole numbers, decimals, fractions, percentages, money concepts, geometry and measurement, charts and graphs, and pre-algebra— for use with students of varying ability levels.

All activities are classroom-tested and presented in a variety of entertaining formats, such as puzzles, crosswords, matching, word/number searches, number substitutions, and more. Plus, many activities include "Quick Access Information" flags providing helpful information on key concepts. ... Read more

Reviews (2)

Disappointed
I was expecting a book of activities to liven up math. Instead, it is just a book of worksheets. Mostly problems where the learner uses the answer in a crossword, wordsearch, or some other type of puzzle. I'm looking for activities to work with students in groups of 3-5. Projects or activities to give us a break from lecture and homework. This is definitely not it. I was led to believe this book was for 6-12, but I would rate it for 6-8.

Pilot Teacher
I am a pilot teacher. I used this resource book with middle years students in many ways. Individual students did some sections and tests as enrichment. They liked the interesting topics such as, how much does it cost to own a tiger.
Another way that I used this book was with the whole class. The book contains basic math topics. We covered some sections as extra review for difficult chapters, like fractions.
The exercises are self-explanatory. This is beneficial especially in a split-grade when time is divided between two grades. Also substitute teachers found the exercises easy to use.
I appreciated the opportunity to pilot this book. The students' learning was enhanced. I recommend it highly. Thank-you. Corinne Baldwin St. Vital School Battleford, Sask. ... Read more

Reviews (1)

Outstanding Professional Development Resource
Teachers College Press has just published a book from the QUASAR Project, intended to help people implement staff development. I've been reading it this week, and it's just about the most useful resource I can imagine in planning on-going staff development to help teachers implement mathematics programs designed around the NCTM standards. (At the high school level, this includes curricula like Core Plus and the Interactive Mathematics Project (IMP). At the Middle school level, this includes programs like Connected Mathematics. At the elementary school level, this includes programs like Investigations in Number, Data, and Space. Many of these curricula have been selected as "exemplary" by the Department of Education.)

The book is called "Implementing Standards-Based Mathematics Instruction: A Casebook for Professional Development". As the title indicates, it contains a number of "cases" for teachers to study and discuss, as they learn to implement high-level mathematics tasks successfully. The strength of the book is that it is organized around QUASAR's "Mathematical Tasks Framework". This framework trains teachers to analyze mathematics tasks as being at any of a number of levels: Doing Mathematics; Procedures With Connections; Procedures Without Connections; Unsystematic Exploration; Nonmathematical Activity.

QUASAR has found that tasks tend to degrade, i.e., they can be designed at a high level ("doing mathematics" or "procedures with connections") but migrate to a "lower" level either when the teacher initially sets up the lesson, or as the lesson procedes (the "implementation" phase). Their data (which I've seen in other studies, not this case-book) demonstrates that student achievement is enhanced when the task is designed, set up, and IMPLEMENTED at a high level. The case-book describes factors that cause a high-level task either to be implemented at a high level, or to degrade. Then, it provides cases (i.e., classroom teaching episodes described in great detail)in which one or the other happens, and helps teachers analyze why. Not only are the cases themselves very useful for learning: the process of analyzing the cases gives teachers the skills they need to analyze their OWN lessons. ... Read more

Book Description

Adults preparing to take the GED High School Equivalency Test, and who feel the need for extra help in math, will find what they are looking for in this self-teaching workbook. The text has been updated in this edition to reflect latest changes in exam format and to familiarize students with use of the Casio fx-260 calculator. The book is filled with subject reviews, exercises, and worksheets covering arithmetic, measurement, geometry, algebra, number relations, and data analysis. All questions are answered, and a full-length diagnostic test plus four practice tests will help students discover their weak areas for concentrated study. ... Read more