The Features and Relationships of Reasoning, Proving and Understanding Proof in Number Patterns  

Oleh:

Kai-Lin Yang ; Lin, Fou-Lai ; Chen, Chuang-Yih

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: International Journal of Science and Mathematics Education vol. 2 no. 2 (2004), page 227-256.
Topik: understanding; number pattern; reasoning; proof and disproof

Ketersediaan

Perpustakaan Pusat (Semanggi) Nomor Panggil: II21.2 Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

Lihat Detail Induk

Isi artikel

Three issues about students' reasoning, proving and understanding proof patterns are investigated in this paper. The first is to elaborate the features of junior high students' reasoning on linear and quadratic number patterns. The second is to study the relationships between 9th graders' justification of mathematical statements about number patterns and their understanding of proof and disproof. The third is to evaluate how reasoning on number patterns is related to constructing proofs. Students in this study were nationally sampled by means of two stages. Some new findings which have not been discovered in some past researches are reported here. These findings include : (1) checking geometric number patterns appears to have different positions between the tasks of the linear and quadratic expressions, (2) proof with the algebraic mode is easy to know but hard to do, (3) disproof with only one counter example is hard to know but easy to do, (4) arguments with empirical mode or specific symbols were hard for students to very convincing for them, and (5) reasoning on number patterns is supportive for proving in number patterns, and reasoning on number patterns and proof in algebra should be designed as complementary activities for developing algebraic thinking.

Opini Anda

Klik untuk menuliskan opini Anda tentang koleksi ini!

Kembali