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Mathematical manipulatives | Wikipedia audio article
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This is an audio version of the Wikipedia Article:
00:00:15 1 In teaching and learning
00:00:31 1.1 Base Ten Blocks
00:00:47 1.2 Pattern blocks
00:01:03 1.3 Interlocking cubes
00:01:19 1.4 Tiles
00:01:35 1.5 Number lines
Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago.
Learning by listening is a great way to:
- increases imagination and understanding
- improves your listening skills
- improves your own spoken accent
- learn while on the move
- reduce eye strain
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Speaking Rate: 0.9935303988244587
Voice name: en-AU-Wavenet-C
"I cannot teach anybody anything, I can only make them think."
- Socrates
SUMMARY
=======
In mathematics education, a manipulative is an object which is designed so that a learner can perceive some mathematical concept by manipulating it, hence its name. The use of manipulatives provides a way for children to learn concepts through developmentally appropriate hands-on experience.
The use of manipulatives in mathematics classrooms throughout the world grew considerably in popularity throughout the second half of the 20th century. Mathematical manipulatives are frequently used in the first step of teaching mathematical concepts, that of concrete representation. The second and third steps are representational and abstract, respectively.
Mathematical manipulatives can be purchased or constructed by the teacher. Examples of commercial manipulatives include unifix₢ cubes; tangrams; Cuisenaire rods; numicon patterns; color tiles; base ten blocks (also known as Dienes or multibase blocks); interlocking cubes; pattern blocks; colored chips; links; fraction strips, blocks, or stacks; Shape Math; Polydron; Zometool; rekenreks and geoboards. Examples of teacher-made manipulatives used in teaching place value are beans and bean sticks or bundles of ten popsicle sticks and single popsicle sticks.
Virtual manipulatives for mathematics are computer models of these objects. Notable collections of virtual manipulatives include The National Library of Virtual Manipulatives and the Ubersketch.
Multiple experiences with manipulatives provide children with the conceptual foundation to understand mathematics at a conceptual level and are recommended by the NCTM.
Some of the manipulatives are now used in other subjects in addition to mathematics. For example, Cuisenaire rods are now used in language arts and grammar, and pattern blocks are used in fine arts.
00:00:15 1 In teaching and learning
00:00:31 1.1 Base Ten Blocks
00:00:47 1.2 Pattern blocks
00:01:03 1.3 Interlocking cubes
00:01:19 1.4 Tiles
00:01:35 1.5 Number lines
Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago.
Learning by listening is a great way to:
- increases imagination and understanding
- improves your listening skills
- improves your own spoken accent
- learn while on the move
- reduce eye strain
Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone.
Listen on Google Assistant through Extra Audio:
Other Wikipedia audio articles at:
Upload your own Wikipedia articles through:
Speaking Rate: 0.9935303988244587
Voice name: en-AU-Wavenet-C
"I cannot teach anybody anything, I can only make them think."
- Socrates
SUMMARY
=======
In mathematics education, a manipulative is an object which is designed so that a learner can perceive some mathematical concept by manipulating it, hence its name. The use of manipulatives provides a way for children to learn concepts through developmentally appropriate hands-on experience.
The use of manipulatives in mathematics classrooms throughout the world grew considerably in popularity throughout the second half of the 20th century. Mathematical manipulatives are frequently used in the first step of teaching mathematical concepts, that of concrete representation. The second and third steps are representational and abstract, respectively.
Mathematical manipulatives can be purchased or constructed by the teacher. Examples of commercial manipulatives include unifix₢ cubes; tangrams; Cuisenaire rods; numicon patterns; color tiles; base ten blocks (also known as Dienes or multibase blocks); interlocking cubes; pattern blocks; colored chips; links; fraction strips, blocks, or stacks; Shape Math; Polydron; Zometool; rekenreks and geoboards. Examples of teacher-made manipulatives used in teaching place value are beans and bean sticks or bundles of ten popsicle sticks and single popsicle sticks.
Virtual manipulatives for mathematics are computer models of these objects. Notable collections of virtual manipulatives include The National Library of Virtual Manipulatives and the Ubersketch.
Multiple experiences with manipulatives provide children with the conceptual foundation to understand mathematics at a conceptual level and are recommended by the NCTM.
Some of the manipulatives are now used in other subjects in addition to mathematics. For example, Cuisenaire rods are now used in language arts and grammar, and pattern blocks are used in fine arts.
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