Mathematical Reasoning and Representation in Education
Explore different types of mathematical reasoning such as representational, inductive, and deductive reasoning. Understand the concepts of odd and even numbers and how to represent fractions visually. Discover the importance of using various forms of representation in mathematical learning to deepen understanding.
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MTES3023 Penaakulan Matematik Jenis Penaakulan Matematik
Sealed Cards A set of ten cards, each showing one of the digits from 0 to 9, is divided up between five envelopes so that there are two cards in each envelope. The sum of the two numbers inside the envelope is written on each on the outside of the envelope: 7 8 13 14 3 What numbers could be inside the "8" envelope?
3 jenis penaakulan Penaakulan perwakilan (representational reasoning) Penaakulan induktif Penaakulan deduktif
Penaakulan Perwakilan GANJIL & GENAP Explain why: The sum of one odd number and one even number is always odd. The sum of two odd numbers is always even. The sum of two even number is always even. 3 + 4 = 7 3 + 5 = 8 4 + 6 = 10
Reasoning and Proof Pictures of odds and evens can help students justify why the sum of two odd numbers is always even.
Pelbagai Bentuk Perwakilan Matematik 5 Simbol Gambarajah Bahan konkrit Aksi Bahasa (lisan & bertulis) lima
Penaakulan Perwakilan Epal warna apa lebih banyak? Tanpa membilang, bagaimanakah anda boleh mengesahkan epal hijau lebih daripada epal merah?
Penaakulan Perwakilan 2 3 3 5 Buktikan. Wakilkan pecahan 2/3 dan 3/5 dengan gambarajah. 2 3 3 5
Penaakulan Perwakilan 3 1 6 4 0 4 2 8 Justifikasi prosedur mendarab ini. (Mengapa 2x4; 2x3; 1x4; dan 1x3?) x b Kerana a a x b 3 4 8 maka 30 4 10 10 x 30 10 x 4 2 x 30 2 x 4 2
Sesi Pleno Idea matematik boleh diwakili dalam pelbagai bentuk: Simbol; gambarajah; bahan konkrit; aksi & bahasa (lisan & bertulis) Perwakilan yang sesuai sangat berguna untuk meneroka ciri & perhubungan matematik.
