folder Free eBooks by Bob Albrecht

document Play Together, Learn Together: Roll, Pick, and Add Dice Games

490 downloads

Play Together, Learn Together: Roll, Pick, and Add Dice Games describes math games and algebraic alakazams for players in grades 1, 2, 3, and up into high school.

   Part of this eBook is about playing the games. 1st-graders can play the easier games.

   Part of this eBook is about math related to the games, featuring probability and statistics.

   Part of this eBook is about Curriculum Construction Kits that you can use to construct

   instructional stuff related to math dice games.

Playing Roll, Pick, and Add reinforces adding 1-digit numbers, adding a 1-digit number to a 2-digit number, greater than, less than, equal to, and possibly other math thingamajigs that didn't occur to us as we wrote this blurb.

We think Roll, Pick, and Add is a rich source of probability and statistics alakazams appropriate for algebra and statistics courses.

Reality expands to fill the available fantasies. To expand your personal reality, fantasize, fantasize, and keep on fantasizing.

B&G

pdf Explore/Investigate: Products of Proper Factors

2045 downloads

PDF 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.

document Explore/Investigate: Products of Proper Factors

1760 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

1190 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

1656 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.

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