- ข้อความ
- ประวัติศาสตร์
Abstract: This paper presents an ef
Abstract: This paper presents an efficient Mathematics teaching-learning tool for integral calculus courses. The tool,
consisting of a set of PowerPoint slides with Maple animation and interactive Maplets with Maple worksheets, is
developed to help instructors to teach in class and to provide students with best opportunity for self-planned learning
and self-assessment. More specifically, the PowerPoint slides with Maple animation help instructors to explain certain
concepts and methods more effectively and clearly; while the interactive Maplets and Maple worksheets reinforce
students’ conceptual understanding of integral calculus.
1. Introduction
Computer algebra systems (CAS) have been used widely as tools in Mathematics education.
A number of symbolic packages for mathematics courses have been developed using
MATHEMATICA, MATLAB or MAPLE over the last two decades. It is found that these symbolic
packages enable students to achieve high level of logical-analytical reasoning by visually
supporting the concepts and the proofs with graphics presented through the packages [4, 5, 15].
Many researchers have measured and evaluated student learning of mathematical concepts via
computer generated dynamic visualizations [6, 7, 9, 11, 14, 17]. A CAS Maple has been used to
teach double integration [13], number theory [2], graph sketching [10], mathematical analysis of
electronic signals and circuits [16]. Recently, Cook developed a set of MAPLE graphing toolscalcIIIplots
for the teaching of 3-dimensional calculus [3]. Man introduced CAS Maple and its
applications in mathematics education at school level [12]. Students were provided with
opportunities in using MAPLE to perform mathematics exploration or problem solving. Symbolic
packages also have been used in teaching other subjects such as physics and engineering [1, 8, 19]
and computation [18]. Tonkes et al. developed a learning model and designed a workbook for
teaching computation using MATLAB to the first year students at university of Queensland.
Throughout the learning model, students work through the workbook to cover all topics required
for improving the proficiency in MATLAB. They found that their learning model together with
consisting of a set of PowerPoint slides with Maple animation and interactive Maplets with Maple worksheets, is
developed to help instructors to teach in class and to provide students with best opportunity for self-planned learning
and self-assessment. More specifically, the PowerPoint slides with Maple animation help instructors to explain certain
concepts and methods more effectively and clearly; while the interactive Maplets and Maple worksheets reinforce
students’ conceptual understanding of integral calculus.
1. Introduction
Computer algebra systems (CAS) have been used widely as tools in Mathematics education.
A number of symbolic packages for mathematics courses have been developed using
MATHEMATICA, MATLAB or MAPLE over the last two decades. It is found that these symbolic
packages enable students to achieve high level of logical-analytical reasoning by visually
supporting the concepts and the proofs with graphics presented through the packages [4, 5, 15].
Many researchers have measured and evaluated student learning of mathematical concepts via
computer generated dynamic visualizations [6, 7, 9, 11, 14, 17]. A CAS Maple has been used to
teach double integration [13], number theory [2], graph sketching [10], mathematical analysis of
electronic signals and circuits [16]. Recently, Cook developed a set of MAPLE graphing toolscalcIIIplots
for the teaching of 3-dimensional calculus [3]. Man introduced CAS Maple and its
applications in mathematics education at school level [12]. Students were provided with
opportunities in using MAPLE to perform mathematics exploration or problem solving. Symbolic
packages also have been used in teaching other subjects such as physics and engineering [1, 8, 19]
and computation [18]. Tonkes et al. developed a learning model and designed a workbook for
teaching computation using MATLAB to the first year students at university of Queensland.
Throughout the learning model, students work through the workbook to cover all topics required
for improving the proficiency in MATLAB. They found that their learning model together with
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abstract: this paper presents an efficient mathematics teaching-learning tool for integral calculus courses. the tool,
consisting of a set of powerpoint slides with maple animation and interactive maplets with maple worksheets, is
developed to help instructors to teach in class and to provide students with best opportunity for self-planned learning
and self-assessment. more specifically,the powerpoint slides with maple animation help instructors to explain certain
concepts and methods more effectively and clearly; while the interactive maplets and maple worksheets reinforce
students' conceptual understanding of integral calculus.
1. introduction
computer algebra systems (cas) have been used widely as tools in mathematics education.
.a number of symbolic packages for mathematics courses have been developed using
mathematica, matlab or maple over the last two decades. it is found that these symbolic
packages enable students to achieve high level of logical-analytical reasoning by visually
supporting the concepts and the proofs with graphics presented through the packages [4, 5, 15].
.many researchers have measured and evaluated student learning of mathematical concepts via
computer generated dynamic visualizations [6, 7, 9, 11, 14, 17]. a cas maple has been used to
teach double integration [13], number theory [2], graph sketching [10], mathematical analysis of
electronic signals and circuits [16]. recently, cook developed a set of maple graphing toolscalciiiplots
.for the teaching of 3-dimensional calculus [3]. man introduced cas maple and its
applications in mathematics education at school level [12]. students were provided with
opportunities in using maple to perform mathematics exploration or problem solving. symbolic
packages also have been used in teaching other subjects such as physics and engineering [1, 8, 19]
and computation [18]. tonkes et al.developed a learning model and designed a workbook for
teaching computation using matlab to the first year students at university of queensland.
throughout the learning model, students work through the workbook to cover all topics required
for improving the proficiency in matlab. they found that their learning model together with.
consisting of a set of powerpoint slides with maple animation and interactive maplets with maple worksheets, is
developed to help instructors to teach in class and to provide students with best opportunity for self-planned learning
and self-assessment. more specifically,the powerpoint slides with maple animation help instructors to explain certain
concepts and methods more effectively and clearly; while the interactive maplets and maple worksheets reinforce
students' conceptual understanding of integral calculus.
1. introduction
computer algebra systems (cas) have been used widely as tools in mathematics education.
.a number of symbolic packages for mathematics courses have been developed using
mathematica, matlab or maple over the last two decades. it is found that these symbolic
packages enable students to achieve high level of logical-analytical reasoning by visually
supporting the concepts and the proofs with graphics presented through the packages [4, 5, 15].
.many researchers have measured and evaluated student learning of mathematical concepts via
computer generated dynamic visualizations [6, 7, 9, 11, 14, 17]. a cas maple has been used to
teach double integration [13], number theory [2], graph sketching [10], mathematical analysis of
electronic signals and circuits [16]. recently, cook developed a set of maple graphing toolscalciiiplots
.for the teaching of 3-dimensional calculus [3]. man introduced cas maple and its
applications in mathematics education at school level [12]. students were provided with
opportunities in using maple to perform mathematics exploration or problem solving. symbolic
packages also have been used in teaching other subjects such as physics and engineering [1, 8, 19]
and computation [18]. tonkes et al.developed a learning model and designed a workbook for
teaching computation using matlab to the first year students at university of queensland.
throughout the learning model, students work through the workbook to cover all topics required
for improving the proficiency in matlab. they found that their learning model together with.
การแปล กรุณารอสักครู่..
Abstract: This paper presents an efficient Mathematics teaching-learning tool for integral calculus courses. The tool,
consisting of a set of PowerPoint slides with Maple animation and interactive Maplets with Maple worksheets, is
developed to help instructors to teach in class and to provide students with best opportunity for self-planned learning
and self-assessment. More specifically, the PowerPoint slides with Maple animation help instructors to explain certain
concepts and methods more effectively and clearly; while the interactive Maplets and Maple worksheets reinforce
students' conceptual understanding of integral calculus.
1. Introduction
Computer algebra systems (CAS) have been used widely as tools in Mathematics education.
A number of symbolic packages for mathematics courses have been developed using
MATHEMATICA, MATLAB or MAPLE over the last two decades. It is found that these symbolic
packages enable students to achieve high level of logical-analytical reasoning by visually
supporting the concepts and the proofs with graphics presented through the packages [4, 5, 15].
Many researchers have measured and evaluated student learning of mathematical concepts via
computer generated dynamic visualizations [6, 7, 9, 11, 14, 17]. A CAS Maple has been used to
teach double integration [13], number theory [2], graph sketching [10], mathematical analysis of
electronic signals and circuits [16]. Recently, Cook developed a set of MAPLE graphing toolscalcIIIplots
for the teaching of 3-dimensional calculus [3]. Man introduced CAS Maple and its
applications in mathematics education at school level [12]. Students were provided with
opportunities in using MAPLE to perform mathematics exploration or problem solving. Symbolic
packages also have been used in teaching other subjects such as physics and engineering [1, 8, 19]
and computation [18]. Tonkes et al. developed a learning model and designed a workbook for
teaching computation using MATLAB to the first year students at university of Queensland.
Throughout the learning model, students work through the workbook to cover all topics required
for improving the proficiency in MATLAB. They found that their learning model together with
consisting of a set of PowerPoint slides with Maple animation and interactive Maplets with Maple worksheets, is
developed to help instructors to teach in class and to provide students with best opportunity for self-planned learning
and self-assessment. More specifically, the PowerPoint slides with Maple animation help instructors to explain certain
concepts and methods more effectively and clearly; while the interactive Maplets and Maple worksheets reinforce
students' conceptual understanding of integral calculus.
1. Introduction
Computer algebra systems (CAS) have been used widely as tools in Mathematics education.
A number of symbolic packages for mathematics courses have been developed using
MATHEMATICA, MATLAB or MAPLE over the last two decades. It is found that these symbolic
packages enable students to achieve high level of logical-analytical reasoning by visually
supporting the concepts and the proofs with graphics presented through the packages [4, 5, 15].
Many researchers have measured and evaluated student learning of mathematical concepts via
computer generated dynamic visualizations [6, 7, 9, 11, 14, 17]. A CAS Maple has been used to
teach double integration [13], number theory [2], graph sketching [10], mathematical analysis of
electronic signals and circuits [16]. Recently, Cook developed a set of MAPLE graphing toolscalcIIIplots
for the teaching of 3-dimensional calculus [3]. Man introduced CAS Maple and its
applications in mathematics education at school level [12]. Students were provided with
opportunities in using MAPLE to perform mathematics exploration or problem solving. Symbolic
packages also have been used in teaching other subjects such as physics and engineering [1, 8, 19]
and computation [18]. Tonkes et al. developed a learning model and designed a workbook for
teaching computation using MATLAB to the first year students at university of Queensland.
Throughout the learning model, students work through the workbook to cover all topics required
for improving the proficiency in MATLAB. They found that their learning model together with
การแปล กรุณารอสักครู่..
Abstract: This paper presents an efficient Mathematics teaching-learning tool for integral calculus courses. The tool, consisting of a set of
PowerPoint Maple slides with animation and interactive Maplets Maple with worksheets,
is developed to help instructors to teach in class and to provide students with opportunity for best self-planned learning
and self-assessment. More specifically,The PowerPoint Maple slides with animation instructors help to explain certain concepts and methods
more effectively and clearly; while the interactive worksheets reinforce
Maple Maplets and students' conceptual understanding of integral calculus.
1. Introduction
Computer algebra systems (CAS) have been widely used as tools in education Mathematics.
Number of packages for A symbolic mathematics courses have been developed using
MATHEMATICA, MATLAB MAPLE or over the last two decades. It is found that these symbolic
packages enable students to achieve high level of logical-analytical reasoning visually by
and the proofs supporting the concepts presented with graphics packages through the [4, 5, 15 .
Many researchers have measured and evaluated student learning of mathematical concepts via
computer generated dynamic visualizations [6, 7, 9, 11, 14, 17 . A CAS Maple
has been used to teach double integration [13, number theory [2, graph sketching [10, mathematical analysis of electronic signals and circuits
[16 . Recently, Cook developed a set of MAPLE graphing toolscalcIIIplots
For the teaching of 3-dimensional calculus [3 . Man introduced CAS Maple
and its applications in mathematics education at school level 12 . Students
were provided with opportunities to perform in mathematics using MAPLE exploration or problem solving. Symbolic
packages have also been used in teaching other subjects such as physics and engineering [1, 8, and 19 ]
computation [18 . Tonkes et al.a learning model designed and developed a workbook for teaching computation using
MATLAB to first year students at the University of Queensland.
Throughout the learning model, students work through the workbook to cover all topics required for improving the proficiency in
MATLAB.They found that their learning model together with
PowerPoint Maple slides with animation and interactive Maplets Maple with worksheets,
is developed to help instructors to teach in class and to provide students with opportunity for best self-planned learning
and self-assessment. More specifically,The PowerPoint Maple slides with animation instructors help to explain certain concepts and methods
more effectively and clearly; while the interactive worksheets reinforce
Maple Maplets and students' conceptual understanding of integral calculus.
1. Introduction
Computer algebra systems (CAS) have been widely used as tools in education Mathematics.
Number of packages for A symbolic mathematics courses have been developed using
MATHEMATICA, MATLAB MAPLE or over the last two decades. It is found that these symbolic
packages enable students to achieve high level of logical-analytical reasoning visually by
and the proofs supporting the concepts presented with graphics packages through the [4, 5, 15 .
Many researchers have measured and evaluated student learning of mathematical concepts via
computer generated dynamic visualizations [6, 7, 9, 11, 14, 17 . A CAS Maple
has been used to teach double integration [13, number theory [2, graph sketching [10, mathematical analysis of electronic signals and circuits
[16 . Recently, Cook developed a set of MAPLE graphing toolscalcIIIplots
For the teaching of 3-dimensional calculus [3 . Man introduced CAS Maple
and its applications in mathematics education at school level 12 . Students
were provided with opportunities to perform in mathematics using MAPLE exploration or problem solving. Symbolic
packages have also been used in teaching other subjects such as physics and engineering [1, 8, and 19 ]
computation [18 . Tonkes et al.a learning model designed and developed a workbook for teaching computation using
MATLAB to first year students at the University of Queensland.
Throughout the learning model, students work through the workbook to cover all topics required for improving the proficiency in
MATLAB.They found that their learning model together with
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