Apa itu Representasi Matematis?

Summary

In this engaging presentation by Mar'atus Sholihah, the concept of mathematical representation is explored through definitions from various experts. Key definitions emphasize the process of capturing mathematical concepts in tangible forms, such as diagrams, physical objects, and written symbols. The session highlights the importance of representing numbers through different numeral systems and physical objects. Three indicators for measuring mathematical representation are introduced: communicating ideas, solving problems, and modeling phenomena. The presentation encourages discussion and offers activities to enhance skills, inviting participants to delve deeper into the world of mathematical representation.

Takeaways

• 😀 Mathematical representation involves capturing mathematical concepts in various forms.
• 😀 NCTM defines representation as both a process and product in mathematics.
• 😀 Jitendra emphasizes the use of manipulatives, diagrams, and written symbols in representation.
• 😀 Golden describes mathematical representation as visible outputs, including diagrams, graphs, and equations.
• 😀 An operational definition of mathematical representation includes tangible forms like physical objects and written expressions.
• 😀 Numbers can be represented using different numeral systems, such as Roman numerals and Arabic numerals.
• 😀 Physical objects can also be used to represent numbers, enhancing understanding.
• 😀 The session outlines three key indicators for measuring mathematical representation skills.
• 😀 Effective communication of mathematical ideas is crucial in mathematical representation.
• 😀 Participants are encouraged to engage in activities to strengthen their mathematical representation abilities.

Q & A

What is mathematical representation?

Mathematical representation refers to the processes and products of capturing mathematical concepts or relationships in various forms, such as symbols, diagrams, or physical objects.

How does NCTM define representation?

The National Council of Teachers of Mathematics (NCTM) defines representation as a process and product, indicating the capturing of mathematical concepts in different forms.

What are some examples of mathematical representations?

Examples include using physical objects, diagrams, verbal language, written symbols, mathematical expressions, and equations.

According to Jitendra, what does representation encompass?

According to Jitendra, representation encompasses configurations of manipulative materials, physical objects, images, diagrams, real-life situations, spoken language, or written symbols.

What is Golden's definition of mathematical representation?

Golden defines mathematical representation as a visible or tangible production, such as line diagrams, numbers, graphs, physical models, written words, mathematical expressions, and equations.

What operational definition of mathematical representation was provided?

The operational definition provided states that mathematical representation is the presentation of mathematical concepts in visible and tangible forms, including physical objects, diagrams, numbers, graphs, and mathematical expressions.

What are some methods to represent numbers mathematically?

Numbers can be represented using various numeral systems such as Roman numerals or Arabic numerals, as well as through physical objects. For instance, the number 5 can be represented with five sticks.

What indicators were used to measure mathematical representation?

Three indicators were used: (1) creating representations to communicate mathematical ideas, (2) applying mathematical representations to solve problems, and (3) using representations to model physical, social, and mathematical phenomena.

What activities can enhance mathematical representation skills?

Activities that involve creating and manipulating different forms of representations can enhance mathematical representation skills, along with discussions and problem-solving tasks.

What should participants do after the session?

Participants are encouraged to send in any questions they may have for discussion and to read the references provided to further their understanding of mathematical representation.