Nov 1, 2012

Do we know what is Mathematical Method?


Rewritten by Marsigit

Katagiri, S. (2004) indicates that question must be created so that problem solving process elicits mathematical thinking and method. He lists of question analyses designed to cultivate mathematical method are as follows:
a. Problem Formation and Comprehension
1)What is the same? What is shared? (Abstraction)
2)Clarify the meaning of the words and use them by oneself. (Abstraction)
3)What (conditions) are important? (Abstraction)
4)What types of situations are being considered? What types of situations are being proposed? (Idealization)
5)Use figures (numbers) for expression. (Diagramming, quantification)
6)Replace numbers with simpler numbers. (Simplification)
7)Simplify the conditions. (Simplification)
8)Give an example. (Concretization)

b. Establishing a Perspective
1)Is it possible to do this in the same way as something already known? (Analogy)
2)Will this turn out the same thing as something already known? (Analogy)
3)Consider special cases. (Specialization)

c. Executing Solutions
1)What kinds of rules seem to be involved? Try collecting data. (Induction)
2)Think based on what is known (what will be known). (Deduction)
3)What must be known before this can be said? (Deduction)
4)Consider a simple situation (using simple numbers or figures). (Simplification)
5)Hold the conditions constant. Consider the case with special conditions. (Specialization)
6)Can this be expressed as a figure? (Diagramming)
7)Can this be expressed with numbers? (Quantification)

d. Logical Organization
1)Why is this (always) correct? (Logical)
2)Can this be said more accurately? (Accuracy)

Reference:
Shikgeo Katagiri (2004)., Mathematical Thinking and How to Teach It. in Progress report of the APEC project: “Colaborative Studies on Innovations for Teaching and Learning Mathematics in Diferent Cultures (II) – Lesson Study focusing on Mathematical Thinking -”, Tokyo: CRICED, University of Tsukuba.

4 comments:

  1. Ahmad Bahauddin
    16709251058
    PPs P.Mat C 2016

    Assalamualaikum warohmatullahi wabarokatuh.
    Metode matematis semua yang membahas dan menunjukkan langkah-langkah penyelesaian masalah matematika seperti persamaan differensial, aljabar linier, deret, geometri, kalkulus, dan lain-lain yang merupakan bidang-bidang dalam matematika. Istilah "metode matematika" sering dipahami untuk menyiratkan semacam sikap pragmatis terhadap matematika, di mana tujuan utamanya adalah untuk mengembangkan metode eksplisit yang sebenarnya untuk memecahkan masalah nyata.

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  2. Lihar Raudina Izzati
    16709251046
    P. Mat C 2016 PPs UNY

    Dalam mengajarkan matematika, guru harus mempunyai metode matematika yang baik untuk siswanya agar siswa dapat memahami konsep yang akan diajarkan. Katagiri menyusun daftar analisis pertanyaan untuk memperkuat metode matematika seperti pemahaman dan pembentukan masalah, membentuk perspektif, melaksanakan solusi, dan logika organisasi.

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  3. Nama: Hendrawansyah
    NIM: 17701251030
    S2 PEP 2017 Kelas B

    Assalamualaikum wr wb.
    Terimakasih banyak Pak prof
    Dalam menumbuhkan metode matematika ada tiga pilar utama antara lain soal formasi dan pemahaman, membentuk, perspektif, melaksanakan solusi dan organisasi logika sebagaimana yang telah disebutkan.Ke empat item ini di dalamnya terdapat berbagai unsur-unsur pertanyaan.Mengidentifikasi pertanyaan di dalam proses belajar tujuannya untuk mengetahui sesuatu yang belum diketahui.Dari pertanyaan-pertaanyaan yang ada akan menciptakan suatu metode pengajaran di dalam matematika.

    Untuk membangun hubungan antara siswa dengan matematika perlu adanya pemahaman sehingga ketika siswa dihadapkan dengan pertanyaan-pertanyaan siswa akan dapat berpikir dengan mudah dalam memecahkan masalah.

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  4. Shelly LUbis
    17709251040
    S2 P.mat B 2017

    Assalamu'alaikum wr.wb

    Mathematical methods is important, not only in mathemacis subject or field, but also on every aspect in our lives. for example , if we want to solve a problem connected with economic issue, when we think by mathematical method, it will make it easier to solve.

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