What's New from Bob Albrecht?

From IAE-Pedia

Contents 1 Introduction 2 Ebooks by Bob & George Published in 2012 3 Current Adventures: Work in Progress 4 References 5 Author or Author

What is your radius of exploration? How far from your base camp are you willing to wander? As you meander and encounter wonders, how many possibilities do you squander because of baggage you carry? Travel light--carry a few essentials. Make room in your backpack for new experiences, new tools, new toys.

-- Laran Stardrake

Introduction

(Work published at IAE and work in progress.)

Ebooks by Bob & George Published in 2012

Mathemagical Black Holes is a free 96-page book that you can download as a PDF file or as a Microsoft Word file. You and your students/tutees can edit the Word file, improve it, enhance it, et cetera, et cetera.

Download Mathemagical Black Holes at http://i-a-e.org/downloads/cat_view/86-free-ebooks-by-bob-albrecht.html.

The book includes Mathemagical Black Holes of the Simple Kind, Mathemagical Black Hole 123, Mathemagical Black Holes 99 & 1089, Mathemagical Black Hole 495, Mathemagical Black Hole 6174, Mathemagical Black Hole 153, Mathemagical Square Root Black Hole, and Mathemagical Black Holes of the Cyclic Kind. We think that first-grade students can enjoy some of the simple black holes and Black Hole 123, especially with you coaching them. Black Hole 123 is amazing, and requires only counting and catenating (putting numbers together).

Grab your magic wand, hop on your broom, and explore mathemagical black holes.

Algebra: Numbers 01 is a 38-page teach-yourself unit. It is a very slow introduction to natural numbers and whole numbers presented in small bite-sized chunks. Nibble, nibble, gnosh, gnosh, learn a little algebra. It is slow and easy. Topics include natural numbers, whole numbers, odd numbers, even numbers, square numbers, triangular numbers, and a math recreation called mathemagical black hole 123. There are 22 sets of Your Turn exercises with answers and a 17-question self-test with answers. Algebra: Numbers 01 is available as a PDF file and also as a Microsoft Word file that you can edit. May dragons of algebraic alakazams be with you.

Download Algebra: Numbers 01 at http://i-a-e.org/downloads/cat_view/86-free-ebooks-by-bob-albrecht.html.

Ebooks published in 2011 also reside at http://i-a-e.org/downloads/cat_view/86-free-ebooks-by-bob-albrecht.html:

Mathemagical Numbers 1 to 99

Mathemagical Numbers 100 to 199

Mathemagical Numbers 200-299

Becoming a Better Math Tutor (Moursund & Albrecht)

Using Math Games & Word Problems to Increase the Math Maturity of K-8 Students (Moursund & Albrecht)

Current Adventures: Work in Progress

2012-03-11 Sunday. We are working on several eBooks that we hope to publish in 2012.

Algebra: How Many Ways 01 is a Teach-yourself book about counting how many ways something can happen. For each How Many? section, the book will have lots of play/work space for students to explore possible answers. Here are some things we will include:

How many rectangles? This figure has 3 rectangles.

How many ways to get n in a row in an n by n array? (horizontally, vertically, or diagonally, as in Tic Tac Toe) For example, there are 6 ways to get 2 in a row in a 2 by 2 array.

How many ways to get 2 in a row in an n by n array (n > 2)? (horizontally, vertically, or diagonally, as in Tic Tac Toe) For example, there are 20 ways to get 2 in a row in a 3 by 3 array.

How many squares in an n by n array of squares? In a 2 by 2 array of squares, there are 5 squares. In a 3 by 3 array of squares, you can find 14 squares.

How many games are played by n teams in a round-robin tournament in which each team plays each other team once?

How many handshakes if n people each shake hands with the other n - 1 people?

How many ways to name a line that contains n points? [AB is the same as BA - count as 1 way.]

How many angles are formed by n rays emanting from a single point?

How many intersections of n line segments if each intersection has exactly 2 line segments intersecting? [Every segment intersects every other segment.]

How many terms are there in the expansion of (a₁ + a₂ + . . . + a_n)² ?

How many line segments join 2 vertices of a regular polygon with n sides? Include sides and diagonals. A triangle has 3 (the 3 sides) and a square has 6 (4 sides and 2 diagonals.

How many non-square rectangles in an n by n array of squares? In a 2 by 2 array of squares, there are 4 non-square rectangles. In a 3 by 3 array of squares, we counted 22. What do you think?

How many elements of an n by n matrix lie above the main diagonal?

How many elements of an n by n matrix lie on or above the main diagonal?

Et cetera, et cetera. We have lots more!

References

IAE-Pedia (n.d.). Robert Albrecht. Retrieved 12/11/2011 from http://iae-pedia.org/Robert_Albrecht.

IAE-Pedia (n.d.). Digital Filing Cabinet/Overview. Retrieved 12/11/2011 from http://iae-pedia.org/Digital_Filing_Cabinet/Overview.

Author or Author

Bob Albrecht and George Firedrake.