Digital Manipulatives  The 21st Century Version of Tokens
"Tell me and I forget, teach me and I may remember,
involve me and I learn."  Benjamin Franklin
 1st: a rational & showandtell of sample digital manipulatives,
© 7/2009
metz web page,
pdf
video,
local, Key words:
Click, Drag, Select, Copy, Paste; Digital Manipulatives as a Math Class Language; Sample, Play, Create.
 1st. or Last: Math Tokens © 2010
Tokens web page
pdf file NO VIDEO
Most digital manipulatives, tokens, are sorted by the NJ Math Standards: Number Sense and Numerical Operations; Geometry and Measurement; Patterns, Algebra, Functions; Data Analysis, Probability, and Discrete Mathematics; Mathematical Processes 
Problem Solving, Communication, Connections, Reasoning, Representations, Technology; Other, NonMath Stuff
 2nd: or 3rd: Manipulative Practices & Math Class Languages,
© 2009
metz1 web page,
pdf
video,
local video, Key Words: Math Class Language Stages of Acquisition; Useful Strategies
 4th: Ancient Computing Devises Used Digitally,
© 2010
amtnj09 web page,
pdf
video,
local video, Key Words:
Fingers & Talley Sticks, Tokens & Coins, Shekel to Stater, Creation of Money, Credit before Coin, Writing Numerals, A Bit About Bases, Abaxes (Sand Table), Reckoning Boards, Banks,
Abacuses, Napier's Bones, Slide Rules
 3rd: (Algebra) Term Tiles & Tokens, © 2010
term tiles web page,
pdf
video,
local video, Key Words:
A Number, Zero , The Opposite, "Zero In" and "Zero Out" to Simplify; Represent, Evaluate, Verify; Integer & Polynomial Computation; Solve; Factor; Create; Appendix/Masters
 2nd: Digital Manipulatives  A Lab,
© 12/2017, 11/2018
dmanip1 web page,
pdf
video,
local video, Key Words: "A Game for Two Players," "Term Tiles & Tokens," "Solve 3 + 2x = 4x  1,"
"Create your own cartouche or write ancient Egyptian numbers or glyphs," "Add vectors 4 @ 45° and 6 @ 135°," and more
 Last: Index,
© 2019, 2022
xls web page,
pdf
video,
local video, Key Words:
"Hundreds Board," abacus, area formula proofs, numerals in Chinese, Japanese, Roman; coins, other number bases, fraction computation, deck of cards, dice, Napier's Bones, etc.
 A Game for Two Players emphasizes prealgebra vocabulary & mental computation.
web page,
pdf,
digital manipulative,
video,
local video, Key words: multiple, multiply, divisible, divide, prime, composite, add, decrease, square, reciprocal, opposite.
