• Title/Summary/Keyword: 과제 중심

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A Comparative Study of the Mathematics Textbooks' Tasks of Korea and the USA : Focused on Conditions for Parallelograms (우리나라와 미국 수학 교과서의 과제 비교 : 평행사변형 조건을 중심으로)

  • Jung, Hye Yun;Lee, Kyeong Hwa
    • School Mathematics
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    • v.18 no.4
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    • pp.749-771
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    • 2016

  • The purpose of this study is to analyze mathematical tasks of Korea and the USA textbooks focused on conditions for parallelograms. In this study, structures of task, types of proof and reasoning, and levels of cognitive demand are investigated. The conclusion is as follows: First, with respect to structures of task, structures presented in the USA textbooks are more diverse. Second, with respect to types of proof and reasoning, Korea and the USA prefer IC task and DA task. And task types presented in the USA textbooks are more diverse. Third, with respect to levels of cognitive demand, in both Korea and the USA textbooks, PNC task and PWC task account most. And compared to the USA, Korea prefer algorithms. In addition, we find out implications for reconstruction of Korea textbook. It is as follows: First, with respect to structures of task and types of proof and reasoning, the diversity of composition needs to be raised. Second, with respect to levels of cognitive demand, the concentration in PNC task needs to be declined. And levels of cognitive demand on types of tasks need to be reconsidered. Third, with respect to tasks' topic and material, internal and external connectivities of mathematics need to be strengthened.

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An Analysis on Conjecturing Tasks in Elementary School Mathematics Textbook: Focusing on Definitions and Properties of Quadrilaterals (초등 수학 4학년 교과서의 추측하기 과제 분석 : 사각형의 정의와 성질을 중심으로)

  • Park, JinHyeong
    • Journal of Educational Research in Mathematics
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    • v.27 no.3
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    • pp.491-510
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    • 2017

  • This study analyzes on conjecturing tasks in elementary mathematics textbook. We adopted Peircean semiotic perspective and variation theory to analyze conjecturing tasks in elementary mathematics textbook. We specifically analyzed mathematical tasks designed to support students' inquiries into definitions and properties of quardrilaterals. As a result, we found that conjecturing tasks in textbooks do not focus on supporting students' diagrammatic reasoning and inductive verification on provisional abductions. These tasks were mainly designed to support students' conjecturing on commonalities of mathematical objects rather than differences between objects.

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