Difference between revisions of "TIIE Mathematics Module"
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* To provide opportunities for students to work together and learn collaboratively | * To provide opportunities for students to work together and learn collaboratively | ||
− | === '''Theme/concept: Number comparison, cardinality and ordinality''' === | + | === [https://karnatakaeducation.org.in/KOER/en/index.php/Complement_game Complement game] === |
− | '''Theme/concept: | + | '''Objectives:''' |
+ | |||
+ | * Practising complements of 10, 20, 100 which would be useful when performing any of the number operations | ||
+ | * Understand number relationships | ||
+ | |||
+ | === '''[https://karnatakaeducation.org.in/KOER/en/index.php/Number_comparison,_cardinality_and_ordinality Theme/concept: Number comparison, cardinality and ordinality]''' === | ||
+ | '''Objectives:''' | ||
+ | |||
+ | * Revisiting basic number concepts | ||
+ | * Working with peers to recall and revise understanding of numbers and number relations | ||
+ | * To understand number cardinality through comparison of their relative sizes | ||
+ | * To understand number ordinality through comparison of their relative positions | ||
+ | |||
+ | === '''[https://karnatakaeducation.org.in/KOER/en/index.php/Representing_numbers_using_the_F-L-U_model Theme/concept: Representing numbers using the F-L-U model]''' === | ||
+ | '''Why the F-L-U model?''' | ||
+ | |||
+ | The FLU model incorporates the cardinality of numbers and helps visualize the ‘size’ of numbers. Units are represented as single blocks, tens as a collection of 10 single blocks and a hundred as a collection of 10 longs or 100 single blocks. | ||
+ | |||
+ | Both physical and digital versions of the model are available. The model can be replicated physically with just a sheet of cardboard/sheet of paper as well. | ||
+ | |||
+ | The F-L-U model also help to understand addition and subtraction better as the ‘why’ behind carry-over/borrowing/regrouping when working with larger numbers can be explained as the ‘putting together’ or ‘taking apart’ of the units, longs and flats when necessary. | ||
+ | |||
+ | '''Objective:''' | ||
+ | |||
+ | * To understand/reinforce the base-10 structure of the number system using the FLU model | ||
+ | * To recall the concepts of ''bidi''(units), ''hattu''(tens), ''nuru''(hundreds) | ||
+ | * To learn how numbers can be represented using the FLU model and correlate the representation to the H-T-U representation | ||
+ | |||
+ | === '''[https://karnatakaeducation.org.in/KOER/en/index.php/Addition_using_the_F-L-U_model Theme/concept: Addition using the F-L-U model]''' === | ||
+ | '''Learning objectives:''' | ||
+ | |||
+ | * To understand how the FLU model can be used to perform addition of upto 3 digit numbers with and without carry-over | ||
+ | * To visualize what it means to ‘carry-over’ | ||
+ | * To correlate the addition process using FLU model to the standard algorithm | ||
+ | |||
+ | === '''[https://karnatakaeducation.org.in/KOER/en/index.php/Subtraction_using_the_F-L-U_model Theme/concept: Subtraction using the F-L-U model]''' === | ||
+ | '''Learning objectives:''' | ||
+ | |||
+ | * To understand how the FLU model can be used to perform subtraction of upto 3 digit numbers with and without regrouping | ||
+ | * To visualize what it means to regroup/’borrow’ | ||
+ | * To correlate the subtraction process using FLU model to the standard algorithm | ||
+ | |||
+ | === [https://karnatakaeducation.org.in/KOER/en/index.php/Understanding_the_meaning_of_multiplication Theme/concept: Understanding the meaning of multiplication] === | ||
+ | Objectives: | ||
+ | |||
+ | * To vizualize multiplication using different models of conception | ||
+ | * To understand the meaning of multiplication in context and using representative models | ||
+ | |||
+ | === [https://karnatakaeducation.org.in/KOER/en/index.php/Play_with_Shapes Theme/concept: Play with Shapes] === | ||
+ | Objectives : | ||
+ | |||
+ | * To distinguish straight lines and curved lines | ||
+ | * To identify 2-D shapes rectangle, square, triangle, circle by their names | ||
+ | * To describes the various 2-D shapes by counting their sides, corners - Creates shapes through paper folding, paper cutting. - Make shapes on the dot-grid using straight and curved lines. - Sorts, Classifies and describes the objects on the basis of shapes, and other observable properties. - Create patterns using shapes using tangram pieces | ||
+ | * To intuitively think about objects around their surroundings and gets a qualitative feel for their geometrical attributes | ||
− | |||
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* | * | ||
* | * | ||
+ | |||
+ | [[Category:TIIE Mathematics]] |
Latest revision as of 07:15, 6 March 2023
Introduction
The mathematics module has been designed with the aim to support the development of students' foundational numeracy skills through the use of different models, teaching strategies, and input formats that incorporate principles of Universal Design for Learning to ensure inclusion of all learners in the classroom.
Objectives
- To provide students alternate methods to visualize and engage with mathematical concepts
- To help students make meaning of mathematical concepts and understand them better
- To provide opportunities for students to work together and learn collaboratively
Complement game
Objectives:
- Practising complements of 10, 20, 100 which would be useful when performing any of the number operations
- Understand number relationships
Theme/concept: Number comparison, cardinality and ordinality
Objectives:
- Revisiting basic number concepts
- Working with peers to recall and revise understanding of numbers and number relations
- To understand number cardinality through comparison of their relative sizes
- To understand number ordinality through comparison of their relative positions
Theme/concept: Representing numbers using the F-L-U model
Why the F-L-U model?
The FLU model incorporates the cardinality of numbers and helps visualize the ‘size’ of numbers. Units are represented as single blocks, tens as a collection of 10 single blocks and a hundred as a collection of 10 longs or 100 single blocks.
Both physical and digital versions of the model are available. The model can be replicated physically with just a sheet of cardboard/sheet of paper as well.
The F-L-U model also help to understand addition and subtraction better as the ‘why’ behind carry-over/borrowing/regrouping when working with larger numbers can be explained as the ‘putting together’ or ‘taking apart’ of the units, longs and flats when necessary.
Objective:
- To understand/reinforce the base-10 structure of the number system using the FLU model
- To recall the concepts of bidi(units), hattu(tens), nuru(hundreds)
- To learn how numbers can be represented using the FLU model and correlate the representation to the H-T-U representation
Theme/concept: Addition using the F-L-U model
Learning objectives:
- To understand how the FLU model can be used to perform addition of upto 3 digit numbers with and without carry-over
- To visualize what it means to ‘carry-over’
- To correlate the addition process using FLU model to the standard algorithm
Theme/concept: Subtraction using the F-L-U model
Learning objectives:
- To understand how the FLU model can be used to perform subtraction of upto 3 digit numbers with and without regrouping
- To visualize what it means to regroup/’borrow’
- To correlate the subtraction process using FLU model to the standard algorithm
Theme/concept: Understanding the meaning of multiplication
Objectives:
- To vizualize multiplication using different models of conception
- To understand the meaning of multiplication in context and using representative models
Theme/concept: Play with Shapes
Objectives :
- To distinguish straight lines and curved lines
- To identify 2-D shapes rectangle, square, triangle, circle by their names
- To describes the various 2-D shapes by counting their sides, corners - Creates shapes through paper folding, paper cutting. - Make shapes on the dot-grid using straight and curved lines. - Sorts, Classifies and describes the objects on the basis of shapes, and other observable properties. - Create patterns using shapes using tangram pieces
- To intuitively think about objects around their surroundings and gets a qualitative feel for their geometrical attributes