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Home > Enhancing an Eight Grade Mathematics Teachers Understanding of Developing Students Deductive Reasoning in Geometry Using Concrete Materials

Enhancing an Eight Grade Mathematics Teachers Understanding of Developing Students Deductive Reasoning in Geometry Using Concrete Materials

Thesis Info

Author

Ishtiaque Ahmed

Department

Institute for Educational Development, Karachi

Program

MEd

Institute

Aga Khan University

Institute Type

Private

City

Karachi

Province

Sindh

Country

Pakistan

Thesis Completing Year

2010

Thesis Completion Status

Completed

Subject

Education

Language

English

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727900711

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Though geometry is one of the most important components of the school mathematics curriculum, there is lack of suitable teaching pedagogy for developing students' deductive reasoning in the lower secondary geometry classrooms (Fujita & Jones, 2004; Royal Society, 2001).This being the case, students face difficulties in coping with secondary school geometry which requires them to reason deductively while dealing with geometric figures, axioms, postulates and theorems. The purpose of the study is to enhance an eighth grade Mathematics teacher's understanding of developing her students' deductive reasoning in geometry, through the use of concrete materials. This study was conducted in a government school in Karachi, Pakistan, using the collaborative action research methodology. Data were collected through conducting semi-structured interviews and classroom observations, writing reflections and maintaining field-notes at the pre-intervention, intervention and post-intervention stages of this study. The data were analyzed on an ongoing basis throughout the research process, which provided the basis for making a comprehensive evaluation and analysis of all the stages and activities of the action research. Findings of the study revealed that in order to help lower secondary students in developing their deductive reasoning, a teacher needs to develop both the theoretical as well as pedagogical understanding of teaching and learning of geometry. The understanding of the Van Hiele's model of geometric reasoning helped the participant teacher to explore her students' existing level of reasoning and plan her lesson accordingly. In addition, participation in this study helped the participant teacher acquire some understanding of developing students' deductive reasoning through the use of appropriate concrete materials, asking thought provoking questions and creating meaningful discussions among students with regard to the geometrical concepts included in the study. Moreover, the study explored issues like the use of the textbook, exam, and absence of teachers' accountability regarding their classroom teaching practices as hindering factors in the teaching and learning of geometry in a lower secondary mathematics classroom in Pakistan.
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88:01
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88:02
a. It will be the Time when some faces will be downcast with fear and shame -

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a. having labored in the world only to weariness - with no payback in the Hereafter.

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a. They will enter the Blazing Fire.

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a. They will be made to drink from a boiling spring of extremely high temperatures.

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a. They will have no food other than bitter dry thorns/cactus -

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a. While, at the same Time, some faces will be blessed,

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a. pleased with their striving for righteousness during the worldly life,

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a. dwelling in Paradise on high,

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a. wherein they shall never hear any absurdity or frivolous talk,

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a. therein will be flowing spring of fresh sweet water,

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a. and cups set in place,

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a. and cushions lined up behind them,

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