Base ten blocks

Base ten blocks, also known as MAB (multibase arithmetic blocks) blocks or Dienes blocks (after the mathematician and educationalist Zoltán Pál Dienes who promoted their use), are a mathematical manipulative used by students to learn basic mathematical concepts including addition, subtraction, number sense, place value and counting. The student can manipulate the blocks in different ways to express numbers and patterns. Generally, the 3-dimensional blocks are made of a solid material such as plastic or wood and come in four sizes to indicate their individual place value: Units (one’s place), Longs (ten’s place), Flats (hundred’s place) and Blocks (thousand’s place).[1] There are also computer programs available that simulate base ten blocks.

Dienes blocks in use

Use in mathematics instruction

Base ten blocks are popular in elementary school mathematics instruction, especially with topics that cause students struggle such as multiplication. They are frequently used in the classroom by teachers to model concepts, as well as by students to reinforce their own understanding of said concepts. Physically manipulating objects is an important technique used in learning basic mathematic principles, particularly at the early stages of cognitive development. Studies have shown that their use, like that of most mathematical manipulatives, decreases as students move into higher grades.[2]

gollark: It's very\* readable\*\*.
gollark: ```javascriptconst spaces = regex(/^ */)const whitespace = regex(/^[ \n\t]*/)const name = regex(/^[^ \n\t():]+/)const code = many(coroutine(function*() { yield spaces return yield choice([ coroutine(function*() { yield char("(") const x = yield code yield spaces yield char(")") return x }), name ])}))const program = sequenceOf([ many1(coroutine(function*() { yield whitespace const n = yield name yield whitespace yield str(":=") const c = yield code return { code: c, name: n } })), possibly(whitespace)]).map(([x, _]) => x)```parsing™
gollark: It was very elegant. I combinated™ it in a few lines of code.
gollark: It went nicely and I had a cool parser and all until it turned out that we were accidentally pushing to the wrong end of a list or something in a stupidly hard to debug way.
gollark: Fun times, that was. We were using JS to implement that weird stacky language.

See also

References
  1. Van de Walle, John (2008). Elementary and Middle School Mathematics: Teaching Developmentally, p. 191. Pearson Education Inc. USA. ISBN 0-205-57352-5
  2. Hatfield, Mary M. (1994)."Use of manipulative devices: Elementary school cooperating. " School Science and Mathematics 94.6 (1994): 303-309.
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