Zaleha Ismail - Academia.edu (original) (raw)
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Instituto Tecnológico y de Estudios Superiores de Monterrey (ITESM)
Graduate Center of the City University of New York
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Many efforts on identifying misconceptions among schools and undergraduate students have been don... more Many efforts on identifying misconceptions among schools and undergraduate students have been done, but for postgraduates, in particular serviced teachers, are yet to be understood. Researches, thesis writing and publications require substantial level of statistical reasoning for postgraduates. The purpose of this study is to identify and analyze postgraduates' misconceptions in descriptive statistics (central tendency and variability). The instrument was a set of questions design to test statistical reasoning in descriptive ...
Creative Problem Solving as a framework to encourage whole-brain thinking which employs different... more Creative Problem Solving as a framework to encourage whole-brain thinking which employs different thinking skills and tools is not sufficiently emphasized in universities. Research findings indicate that for most engineering students, mathematics has always been one of the most difficult courses to study. Previous researches tried to overcome students' difficulties in the engineering mathematics by using some methods based on supporting mathematical thinking. In this paper, we shall discuss and propose a learning environment for supporting students' thinking and creative problem solving in engineering mathematics. Blended learning is suggested as an environment to support students' thinking powers through creative problem solving.
Multivariable function is one of the most important concepts in the learning of advanced mathemat... more Multivariable function is one of the most important concepts in the learning of advanced mathematics. We had implemented a teaching approach to support students in the learning of two-variable functions by promoting mathematical thinking in face-to-face Multivariable Calculus classroom. This study investigates the obstacles and difficulties faced by students in the learning of two-variable functions based on the mathematical thinking approach. The findings indicated that students displayed various difficulties in finding the range and sketching the graph of two-variable functions. The students' difficulties and obstacles such as poor mastery of algebraic manipulation, poor grasp of prior knowledge or lack of it, idiosyncrasy attributed from previous mathematical experience, and restricted mental images of two-variable functions could be classified as difficulties with techniques, concepts, and studying mathematics. Based on students' responses, the difficulties were considered mainly conceptual in nature and few were related to techniques and studying mathematics.
Pre-service teachers should be equipped with mathematical thinking. Mathematical thinking is one ... more Pre-service teachers should be equipped with mathematical thinking. Mathematical thinking is one of the most critical aims of the mathematics education has an extremely crucial role for enhancing then conceptual learning. Mathematical thinking is a process that enables students to expand the for the complexities of their ideas. This article describes mathematical thinking in differential equations among pre-service teachers. The study was carried out in the Faculty of Education, Universiti Teknologi Malaysia. A set of items was designed to test mathematical thinking level. The instrument was developed based on Mason's framework of mathematical thinking. Test items measure mathematical thinking namely, specializing, generalizing, conjecturing, and convincing. Descriptive statistics was applied for data analysis. The result indicated that students' mathematical thinking is in the low level mostly specializing. The implications of this research will lead to some recommendations and approaches to enhance mathematical thinking.
Many efforts on identifying misconceptions among schools and undergraduate students have been don... more Many efforts on identifying misconceptions among schools and undergraduate students have been done, but for postgraduates, in particular serviced teachers, are yet to be understood. Researches, thesis writing and publications require substantial level of statistical reasoning for postgraduates. The purpose of this study is to identify and analyze postgraduates' misconceptions in descriptive statistics (central tendency and variability). The instrument was a set of questions design to test statistical reasoning in descriptive ...
Creative Problem Solving as a framework to encourage whole-brain thinking which employs different... more Creative Problem Solving as a framework to encourage whole-brain thinking which employs different thinking skills and tools is not sufficiently emphasized in universities. Research findings indicate that for most engineering students, mathematics has always been one of the most difficult courses to study. Previous researches tried to overcome students' difficulties in the engineering mathematics by using some methods based on supporting mathematical thinking. In this paper, we shall discuss and propose a learning environment for supporting students' thinking and creative problem solving in engineering mathematics. Blended learning is suggested as an environment to support students' thinking powers through creative problem solving.
Multivariable function is one of the most important concepts in the learning of advanced mathemat... more Multivariable function is one of the most important concepts in the learning of advanced mathematics. We had implemented a teaching approach to support students in the learning of two-variable functions by promoting mathematical thinking in face-to-face Multivariable Calculus classroom. This study investigates the obstacles and difficulties faced by students in the learning of two-variable functions based on the mathematical thinking approach. The findings indicated that students displayed various difficulties in finding the range and sketching the graph of two-variable functions. The students' difficulties and obstacles such as poor mastery of algebraic manipulation, poor grasp of prior knowledge or lack of it, idiosyncrasy attributed from previous mathematical experience, and restricted mental images of two-variable functions could be classified as difficulties with techniques, concepts, and studying mathematics. Based on students' responses, the difficulties were considered mainly conceptual in nature and few were related to techniques and studying mathematics.
Pre-service teachers should be equipped with mathematical thinking. Mathematical thinking is one ... more Pre-service teachers should be equipped with mathematical thinking. Mathematical thinking is one of the most critical aims of the mathematics education has an extremely crucial role for enhancing then conceptual learning. Mathematical thinking is a process that enables students to expand the for the complexities of their ideas. This article describes mathematical thinking in differential equations among pre-service teachers. The study was carried out in the Faculty of Education, Universiti Teknologi Malaysia. A set of items was designed to test mathematical thinking level. The instrument was developed based on Mason's framework of mathematical thinking. Test items measure mathematical thinking namely, specializing, generalizing, conjecturing, and convincing. Descriptive statistics was applied for data analysis. The result indicated that students' mathematical thinking is in the low level mostly specializing. The implications of this research will lead to some recommendations and approaches to enhance mathematical thinking.