Folder Free eBooks by Bob Albrecht

pdf Mathemagical Black Holes 1, 153, 370, 371, 407 and Cyclical

Mathemagical Black Hole: Start with an input number. Apply a process (sequence of mathematical operations) to the input number and get an output number.

input number --> process --> output number

If the output number is equal to the input number, then the number is a mathemagical black hole using that process.

This 152-page eBook explores the process: sum of cubes of digits.

input number --> sum of cubes of digits --> output number

Black Hole 1: 1= 1

Black Hole 153: 13 + 53 + 33 = 153

Black Hole 370: 33 + 73 + 03 = 370

Black Hole 371: 33 + 73 + 13 = 371

Black Hole 407: 43 + 03 + 73 = 407

And there are cyclical black holes with two or three numbers each cycle.

AMAZING! MATHEMAGICAL! Repeated application of the sum of cubes of digits process sends EVERY natural number into black hole 1, black hole 153, black hole 370, black hole 371, black hole 407 or a cyclical black hole.

Reality expands to fill the available fantasies!

document Mathemagical Black Holes 1, 153, 370, 371, 407 and Cyclical

Mathemagical Black Hole: Start with an input number. Apply a process (sequence of mathematical operations) to the input number and get an output number.

input number --> process --> output number

If the output number is equal to the input number, then the number is a mathemagical black hole using that process.

This 152-page eBook explores the process: sum of cubes of digits.

input number --> sum of cubes of digits --> output number

Black Hole 1: 1= 1

Black Hole 153: 13 + 53 + 33 = 153

Black Hole 370: 33 + 73 + 03 = 370

Black Hole 371: 33 + 73 + 13 = 371

Black Hole 407: 43 + 03 + 73 = 407

And there are cyclical black holes with two or three numbers each cycle.

AMAZING! MATHEMAGICAL! Repeated application of the sum of cubes of digits process sends EVERY natural number into black hole 1, black hole 153, black hole 370, black hole 371, black hole 407 or a cyclical black hole.

Reality expands to fill the available fantasies!

document Play Together, Learn Together: Number Race Dice Games

Play Together, Learn Together: Number Race Dice Games

This 55-page eBook describes math games for players in grades 1, 2, 3, and up using D6s (6-faced dice with faces numbered 1 to 6) and DDs (digit dice, 10-faced dice with faces numbered 0 to 9).

Games using 2D6 (two 6-faced dice with faces numbered 1 to 6):

Number Race 0 to 12 Game #1 (addition and subtraction)
Number Race 0 to 12 Game #2 (addition, subtraction and multiplication)
Number Race 12 to 0 (addition, subtraction and multiplication

Games using 2DD (two 10-faced dice with faces numbered 0 to 9:

Number Race 0 to 18 Game #1 (addition and subtraction)
Number Race 0 to 18 Game #2 (addition, subtraction and multiplication)
Number Race 18 to 0 (addition, subtraction and multiplication

Games using 4D6 to make two fractions:

Fraction Race 0 to 1 (fraction addition and subtraction)
Fraction Race 1 to 0 (fraction addition and subtraction)

Play is the work of the child. – Friedrich Froebel, Jean Piaget, and others
When tools become toys, then work becomes play. – Bernie DeKoven
When homework becomes homeplay, then learning becomes fun. – Bob & George

pdf Play Together, Learn Together: Number Race Dice Games

Play Together, Learn Together: Number Race Dice Games

This 55-page eBook describes math games for players in grades 1, 2, 3, and up using D6s (6-faced dice with faces numbered 1 to 6) and DDs (digit dice, 10-faced dice with faces numbered 0 to 9).

Games using 2D6 (two 6-faced dice with faces numbered 1 to 6):

Number Race 0 to 12 Game #1 (addition and subtraction)
Number Race 0 to 12 Game #2 (addition, subtraction and multiplication)
Number Race 12 to 0 (addition, subtraction and multiplication

Games using 2DD (two 10-faced dice with faces numbered 0 to 9:

Number Race 0 to 18 Game #1 (addition and subtraction)
Number Race 0 to 18 Game #2 (addition, subtraction and multiplication)
Number Race 18 to 0 (addition, subtraction and multiplication

Games using 4D6 to make two fractions:

Fraction Race 0 to 1 (fraction addition and subtraction)
Fraction Race 1 to 0 (fraction addition and subtraction)

Play is the work of the child. – Friedrich Froebel, Jean Piaget, and others
When tools become toys, then work becomes play. – Bernie DeKoven

When homework becomes homeplay, then learning becomes fun. – Bob & George

pdf Live/Work/Play in Earth Orbit 01

IMAGINE/FANTASIZE

Now: Live, work and play in Earth orbit in the International Space Station (ISS).

Soon: Live, work and play in Earth orbit in resort hotels, research centers, factories, sports arenas, junkyards and other space habitats.

IMAGINE/FANTASIZE

Today, tomorrow and beyond: You and your students imagine living, working and playing in a resort hotel, research center, factory, sports arena, junkyard or other habitat in Earth orbit.

You and your students imagine designing resort hotels, research centers, factories, sports arenas, junkyards and other space habitats in Earth orbit.

We searched the Internet for information and inspiration, contrived mathemagical alakazams related to living, working and playing in Earth orbit, and share our investigations in this eBook.

Reality expands to fill the available fantasies.