Mathematics Teacher: Learning and Teaching PK–12, Jun 1, 2023
This pattern-related problem, appropriate for high school students, involves spatial visualizatio... more This pattern-related problem, appropriate for high school students, involves spatial visualization, promotes geometric and algebraic thinking, and relies on a no-cost computer software program.
The purpose of this workshop is to provide an example of how a simple origami box can be used to ... more The purpose of this workshop is to provide an example of how a simple origami box can be used to explore important concepts in geometry and calculus. The mathematics behind the particular origami box and the significance of the role origami in mathematics classroom will also be addressed during the talk. As a hands-on activity, the audience will get an opportunity to create an origami box during the presentation
Mathematics Teacher: Learning and Teaching PK–12, Oct 1, 2016
A paper-folding problem is easy to understand and model, yet its solution involves rich mathemati... more A paper-folding problem is easy to understand and model, yet its solution involves rich mathematical thinking in the areas of geometry and algebra.
International Journal of Mathematical Education in Science and Technology, Jul 15, 2007
The purpose of this paper is to provide examples of ‘non-traditional conjectures’ in a dynamic ge... more The purpose of this paper is to provide examples of ‘non-traditional conjectures’ in a dynamic geometry environment that can be used to stimulate students to provide proofs. The author believes that teachers can ask their students to find out if these conjectures are true; if the conjectures are true, then the students can come up with their own proofs. The appendix contains brief descriptions (pertaining to each conjecture) explaining why these conjectures are true or false.
International Journal of Mathematical Education in Science and Technology, Oct 23, 2017
ABSTRACT These notes discuss several related problems in geometry that can be explored in a dynam... more ABSTRACT These notes discuss several related problems in geometry that can be explored in a dynamic geometry environment. The problems involve an interesting property of hexagons.
International Journal of Mathematical Education in Science and Technology, Oct 31, 2013
The purpose of this note is to provide an example of how a simple origami box can be used to expl... more The purpose of this note is to provide an example of how a simple origami box can be used to explore important concepts in geometry. The paper describes how an origami box can be folded, and then it goes on to describe how the volume of the constructed box can be calculated.
International Journal of Mathematical Education in Science and Technology, Sep 1, 2002
This note describes a large-scale modelling activity involving geometry that can be solved with t... more This note describes a large-scale modelling activity involving geometry that can be solved with the help of uni-variable calculus. More specifically, it introduces and proves the following theorem: given any non-equilateral triangle, there exist infinitely many mutually non-congruent triangles with the same area and the same perimeter as the given triangle.
Mathematics Teacher: Learning and Teaching PK–12, Mar 1, 2018
One of the most well-known theorems in mathematics, the Pythagorean theorem and its proof are a s... more One of the most well-known theorems in mathematics, the Pythagorean theorem and its proof are a standard part of the school mathematics curriculum. The theorem is named for Pythagoras, a Greek mathematician and philosopher, born around 570 BCE. More than 400 proofs of the theorem exist, and this number continues to grow (Maor 2007). A future American president, James Garfield, generated an original proof five years before being elected; another proof is credited to twelve-year-old Einstein.
Mathematics Teacher: Learning and Teaching PK–12, Jun 1, 2023
This pattern-related problem, appropriate for high school students, involves spatial visualizatio... more This pattern-related problem, appropriate for high school students, involves spatial visualization, promotes geometric and algebraic thinking, and relies on a no-cost computer software program.
The purpose of this workshop is to provide an example of how a simple origami box can be used to ... more The purpose of this workshop is to provide an example of how a simple origami box can be used to explore important concepts in geometry and calculus. The mathematics behind the particular origami box and the significance of the role origami in mathematics classroom will also be addressed during the talk. As a hands-on activity, the audience will get an opportunity to create an origami box during the presentation
Mathematics Teacher: Learning and Teaching PK–12, Oct 1, 2016
A paper-folding problem is easy to understand and model, yet its solution involves rich mathemati... more A paper-folding problem is easy to understand and model, yet its solution involves rich mathematical thinking in the areas of geometry and algebra.
International Journal of Mathematical Education in Science and Technology, Jul 15, 2007
The purpose of this paper is to provide examples of ‘non-traditional conjectures’ in a dynamic ge... more The purpose of this paper is to provide examples of ‘non-traditional conjectures’ in a dynamic geometry environment that can be used to stimulate students to provide proofs. The author believes that teachers can ask their students to find out if these conjectures are true; if the conjectures are true, then the students can come up with their own proofs. The appendix contains brief descriptions (pertaining to each conjecture) explaining why these conjectures are true or false.
International Journal of Mathematical Education in Science and Technology, Oct 23, 2017
ABSTRACT These notes discuss several related problems in geometry that can be explored in a dynam... more ABSTRACT These notes discuss several related problems in geometry that can be explored in a dynamic geometry environment. The problems involve an interesting property of hexagons.
International Journal of Mathematical Education in Science and Technology, Oct 31, 2013
The purpose of this note is to provide an example of how a simple origami box can be used to expl... more The purpose of this note is to provide an example of how a simple origami box can be used to explore important concepts in geometry. The paper describes how an origami box can be folded, and then it goes on to describe how the volume of the constructed box can be calculated.
International Journal of Mathematical Education in Science and Technology, Sep 1, 2002
This note describes a large-scale modelling activity involving geometry that can be solved with t... more This note describes a large-scale modelling activity involving geometry that can be solved with the help of uni-variable calculus. More specifically, it introduces and proves the following theorem: given any non-equilateral triangle, there exist infinitely many mutually non-congruent triangles with the same area and the same perimeter as the given triangle.
Mathematics Teacher: Learning and Teaching PK–12, Mar 1, 2018
One of the most well-known theorems in mathematics, the Pythagorean theorem and its proof are a s... more One of the most well-known theorems in mathematics, the Pythagorean theorem and its proof are a standard part of the school mathematics curriculum. The theorem is named for Pythagoras, a Greek mathematician and philosopher, born around 570 BCE. More than 400 proofs of the theorem exist, and this number continues to grow (Maor 2007). A future American president, James Garfield, generated an original proof five years before being elected; another proof is credited to twelve-year-old Einstein.
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