folder Free eBooks by Bob Albrecht

document Explore/Investigate: Products of Proper Factors

1701 downloads

Microsoft Word file. We frequently awake during the night wondering about mathemagical alakazams. Sometimes we leap out of bed and jot down notes to remind us to check out an idea. One night we woke in the wee hours wondering about products of proper factors of natural numbers. We eased out of bed and wrote a note to look it up on the Internet. Later that day, we cranked up our computer and searched for

 products of proper factors

We found zilch, nada, nothing about products of proper factors of numbers. We did another search:

sums of proper factors [12 million hits!] 

On the Internet, there is much ado about sums of proper factors of natural numbers, but we did not find anything about products of proper factors of natural numbers.

Aha! Is this unexplored territory? (We don't know.) In this 52-page eBook, we explore products of proper factors. We leave much exploring undone and hope that YOU and YOUR STUDENTS will continue the exploration.

pdf Play Together, Learn Together: REVERSE - an Aha! Game

1164 downloads

PDF file. REVERSE is a puzzle game that we think you have not seen before. REVERSE, as described in this 80-page eBook, is mostly missing from the Internet. Opportunity knocks! You and we together can develop REVERSE as a NEW tool/toy for learning and teaching math.

Many first-time players find REVERSE a boggling game and are unable to solve the puzzle until – Aha! – they discover or invent a method that works for any list of numbers. We describe algorithmic and heuristic methods for playing REVERSE. We think REVERSE is a great game for you and your students to explore and contrast algorithmic and heuristic problem solving. Hey, it's a game - kids love games.

This eBook also introduces Double REVERSE, a NEW puzzle game inspired by REVERSE. We hope that you will encourage students to discover or inventways to solve REVERSE and Double REVERSE puzzles.

We are just beginning to explore Double REVERSE. Help develop REVERSE and Double REVERSE as tools/toys for learning and teaching math. Send email to Play Together, Learn Together This email address is being protected from spambots. You need JavaScript enabled to view it. . We will acknowledge contributions by teachers and students in our next eBooks about REVERSE and Double REVERSE. We encourage you to write your eBooks about REVERSE and Double REVERSE.

document Play Together, Learn Together: REVERSE - an Aha! Game

1610 downloads

Microsoft Word file. REVERSE is a puzzle game that we think you have not seen before. REVERSE, as described in this 80-page eBook, is mostly missing from the Internet. Opportunity knocks! You and we together can develop REVERSE as a NEW tool/toy for learning and teaching math.

Many first-time players find REVERSE a boggling game and are unable to solve the puzzle until – Aha! – they discover or invent a method that works for any list of numbers. We describe algorithmic and heuristic methods for playing REVERSE. We think REVERSE is a great game for you and your students to explore and contrast algorithmic and heuristic problem solving. Hey, it's a game - kids love games.

This eBook also introduces Double REVERSE, a NEW puzzle game inspired by REVERSE. We hope that you will encourage students to discover or inventways to solve REVERSE and Double REVERSE puzzles.

We are just beginning to explore Double REVERSE. Help develop REVERSE and Double REVERSE as tools/toys for learning and teaching math. Send email to Play Together, Learn Together This email address is being protected from spambots. You need JavaScript enabled to view it. . We will acknowledge contributions by teachers and students in our next eBooks about REVERSE and Double REVERSE. We encourage you to write your eBooks about REVERSE and Double REVERSE.

pdf Counting Alakazams 01: Count Objects in Arrays

1990 downloads

PDF file. This 76-page eBook was inspired by Count von Count of Sesame Street. You can download it free as a PDF file or Word file or both. This eBook is intended for teachers of mathematics at all grade levels. It is about counting objects in square and rectangular arrays of tiny squares. The objects to be counted are squares and rectangles. Counting is one of the foundations of mathematics. Counting is fun! 

Chapters: Rectangular and Square Arrays, Count Squares in Square Arrays, Count Squares in Rectangular Arrays, Count Rectangles in Square Arrays, Count Rectangles in Rectangular Arrays, Algebraic Alakazams, and Problems for You to Ponder. 

As your students play through this book, they will encounter many Your Turn activities followed by Answers.Immediate feedback. This is free book. It is AOK for you to give snippets or the entire book to students, teachers, tutors, parents, grandparents, et al, et al. You can easily edit the Microsoft Word version. May dragons of good fortune dance on your keyboard.

document Counting Alakazams 01: Count Objects in Arrays

1156 downloads

Microsoft Word file. This 76-page eBook was inspired by Count von Count of Sesame Street. You can download it free as a PDF file or Word file or both. This eBook is intended for teachers of mathematics at all grade levels. It is about counting objects in square and rectangular arrays of tiny squares. The objects to be counted are squares and rectangles. Counting is one of the foundations of mathematics. Counting is fun!

Chapters: Rectangular and Square Arrays, Count Squares in Square Arrays, Count Squares in Rectangular Arrays, Count Rectangles in Square Arrays, Count Rectangles in Rectangular Arrays, Algebraic Alakazams, and Problems for You to Ponder.

As your students play through this book, they will encounter many Your Turn activities followed by Answers.Immediate feedback. This is free book. It is AOK for you to give snippets or the entire book to students, teachers, tutors, parents, grandparents, et al, et al. You can easily edit the Microsoft Word version. May dragons of good fortune dance on your keyboard.

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