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Showing 1 to 15 of 69 results Save | Export
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Steven J. Heilig – Mathematics Teacher: Learning and Teaching PK-12, 2024
Geometry students often wonder about the importance of construction techniques. Are they the only way to create geometric figures? What purpose do they serve? How do these techniques relate to other parts of geometry? This article introduces a project used at the high school level that gets all students in a class engaged with construction, gets…
Descriptors: High School Students, High School Teachers, Geometry, Geometric Concepts
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O'Neill, Christopher; Silverstein, Lily – PRIMUS, 2023
The authors describe their approach to teaching a course on finite fields and combinatorial applications, including block designs and error-correcting codes, using a hybrid of lectures and active learning. Under the discussed classroom model, there are two lecture days and two discovery-based discussion days each week. Discussions center around…
Descriptors: Interdisciplinary Approach, Teaching Methods, Mathematics Instruction, College Mathematics
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Meagher, Michael S.; Özgün-Koca, S. Asli; Edwards, M. Todd – Journal of Mathematics Education at Teachers College, 2020
Generating mathematical conjectures is an important mathematical habit of mind for preservice teachers to develop so that they can, in turn, help their students to develop this skill. In this paper we present a classroom episode in which preservice mathematics teachers experience conjecturing in the context of a rich, open-ended task. They also…
Descriptors: Preservice Teachers, Mathematics Instruction, Mathematical Logic, Reflection
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Olsen, Joe; Lew, Kristen; Weber, Keith – Educational Studies in Mathematics, 2020
The metaphors that students form and encounter have been shown to exert a powerful influence on how they think about mathematics. In this paper, we explore the linguistic metaphors about learning and doing mathematics that were prevalent in 11 advanced mathematics lectures. We present four metaphor clusters that were common in the corpus that we…
Descriptors: Advanced Courses, Mathematics Instruction, Figurative Language, Computational Linguistics
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Manousaridis, Tracy – Mathematics Teacher: Learning and Teaching PK-12, 2021
Students thrive when presented with tasks that are approachable, challenging, and interesting. Remembering to challenge all students is essential, not just those who excel in mathematics; teachers need to open the door to meaningful mathematics for every learner. In this exploration into subtraction patterns, teachers will see how curious young…
Descriptors: Mathematics Instruction, Grade 3, Elementary School Mathematics, Inquiry
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Pawlaschyk, Thomas; Wegner, Sven-Ake – International Journal of Mathematical Education in Science and Technology, 2020
In this note, we report on an implementation of discovery-oriented problems in courses on Real Analysis and Differential Equations. We explain a type of task design that gives students the opportunity to conjecture, refute and prove. What is new is that the complexity in our problems is limited and thus the tasks can also be used in homework…
Descriptors: Homework, Mathematics Instruction, Teaching Methods, Calculus
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McLennan, Deanna Marie Pecaski – Journal of Teaching and Learning, 2019
This article discusses the use of number talks to engage kindergarten children in regular joyful math opportunities in the classroom. As an educator of four- and five-year-old students in a full day kindergarten (FDK) program in Ontario, Canada, I embrace inquiry-based learning to guide children's activities. Inspired by the childcare centres in…
Descriptors: Foreign Countries, Kindergarten, Young Children, Mathematics Education
Yamashita, Koichi; Fujioka, Ryota; Kogure, Satoru; Noguchi, Yasuhiro; Konishi, Tatsuhiro; Itoh, Yukihiro – Research and Practice in Technology Enhanced Learning, 2016
In this paper, we describe three practical exercises relating to algorithm education. The exercises are based on a learning support system that offers visualization of program behavior. Systems with the ability to visualize program behavior are effective to promote the understanding of algorithm behavior. The introduction of these systems into an…
Descriptors: Mathematics Education, Discovery Learning, Visualization, Mathematics Instruction
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Kenan, Kok Xiao-Feng – Australian Mathematics Teacher, 2018
This paper discusses the importance of the joy of learning in mathematics and some ways that teachers can foster this in mathematics education.
Descriptors: Foreign Countries, Mathematics Education, Mathematics Instruction, Mathematics Teachers
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Jenna Marks; Deena Bernett; Catherine C. Chase – International Journal of Designs for Learning, 2016
This design case describes the development of the Invention Coach, an intelligent exploratory learning environment (ELE) for the constructivist activity of Invention. The Invention Coach scaffolds students as they invent mathematical formulas to describe contrasting cases. In this paper, we detail our process and rationale for three key design…
Descriptors: Intelligent Tutoring Systems, Constructivism (Learning), Mathematics Instruction, Scaffolding (Teaching Technique)
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Cherif, Abour H.; Gialamas, Stefanos; Stamati, Angeliki – Journal of Education and Practice, 2017
Every object we think of or encounter, whether a natural or human-made, has a regular or irregular shape. In its own intrinsic conceptual design, it has elements of mathematics, science, engineering, and arts, etc., which are part of the object's geometric shape, form and structure. Geometry is not only an important part of mathematics, but it is…
Descriptors: Mathematics Education, Mathematics Skills, Skill Development, Mathematics Instruction
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Winkel, Brian – PRIMUS, 2013
We describe the enlightening path of self-discovery afforded to the teacher of undergraduate mathematics. This is demonstrated as we find and develop background material on an application of optimal control theory to model the evolutionary strategy of an insect colony to produce the maximum number of queen or reproducer insects in the colony at…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Entomology
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Wallace-Gomez, Patricia – Mathematics Teacher, 2013
After a unit on the rules for positive and negative numbers and the order of operations for evaluating algebraic expressions, many students believe that they understand these principles well enough, but they really do not. They clearly need more practice, but not more of the same kind of drill. Wallace-Gomez provides three graphing activities that…
Descriptors: Algebra, Mathematics Instruction, Graphs, Mathematical Concepts
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Cavazos, Rebecca R. – Teaching Children Mathematics, 2014
This article details how certain mathematical "discoveries" that Cavazos' fourth graders made were recorded throughout the year. Cavazos invited a math professor, a biologist, a literacy professor, a chemist, a statistician, and an engineering student, as well as their school principal and computer lab technician, both of whom are…
Descriptors: Mathematics Education, Investigations, Mathematics Instruction, Mathematics Activities
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Winkel, Brian – International Journal of Mathematical Education in Science and Technology, 2008
This note discusses the introduction of Fourier series as an immediate application of optimization of a function of more than one variable. Specifically, it is shown how the study of Fourier series can be motivated to enrich a multivariable calculus class. This is done through discovery learning and use of technology wherein students build the…
Descriptors: Discovery Learning, Calculus, Mathematics Instruction, Educational Technology
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