Search results for author:"Michael Todd Edwards"
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What's Your Answer? Searching for Triangles
Michael S. Meagher; Michael Todd Edwards; S. Asli Özgün-Koca
Mathematics Teacher Vol. 109, No. 7 (2016) pp. 500–506
The article opens with a Geoboard Triangle Quest in this form: "How many noncongruent triangles can be constructed on a 4 × 4 geoboard? How do you know? Justify your answer with significant supporting work." The use of advanced digital...
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Spaghetti Sine Curves: Virtual Environments for Reasoning and Sense Making
S Asli Özgün-Koca; Michael Todd Edwards; Michael Meagher
Mathematics Teacher Vol. 107, No. 3 (October 2013) pp. 180–187
In a recent collaboration with an area high school teacher, the authors were asked to develop an introductory sinusoidal curves lesson for a group of second-year algebra students. Because the topic was abstract and unfamiliar to these tenth graders, ...
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Authentic Tasks in a Standards-Based World
Michael Todd Edwards; Suzanne R. Harper; Dana C. Cox
Mathematics Teacher Vol. 106, No. 5 (December 2012) pp. 346–353
Curriculum standards provide classroom teachers with frameworks to guide instruction during the academic year and throughout a student's schooling. Unfortunately, standards are misconstrued as all-encompassing--as a compendium of all mathematics...
Topics: Standards
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A New Recipe: No More Cookbook Lessons
Suzanne R. Harper; Michael Todd Edwards
Mathematics Teacher Vol. 105, No. 3 (October 2011) pp. 180–188
Mathematics educators frequently extol the virtues of inquiry-based instruction to classroom teachers. Although research suggests that inquiry benefits learners by allowing them to make sense of the mathematics they encounter, particularly through...
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Pre-service teachers’ experiences with advanced digital technologies: The interplay between technology in a pre-service classroom and in field placements
Michael Meagher; Asli Ozgun-Koca; Michael Todd Edwards
Contemporary Issues in Technology and Teacher Education Vol. 11, No. 3 (September 2011) pp. 243–270
This paper reports on a study of 22 preservice teachers enrolled in a first-semester mathematics teaching methods course. Course activities included participation in two separate field experiences in neighboring school districts. The methods class...
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A Teacher's Journey with a New Generation Handheld: Decisions, Struggles, and Accomplishments
S Asli Ozgun-Koca; Michael Meagher; Michael Todd Edwards
School Science and Mathematics Vol. 111, No. 5 (May 2011) pp. 209–224
In this technology-oriented age, teachers face daily decisions regarding the use of advanced digital technologies--graphing calculators, dynamic geometry software, blogs, wikis, podcasts and the like--to enhance student mathematical understanding in ...
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The Frame Game
Michael Todd Edwards; Dana C. Cox
Journal of Mathematics Education at Teachers College Vol. 2, No. 2 (2011) pp. 18–27
In this article, the authors explore framing, a non-multiplicative technique commonly employed by students as they construct similar shapes. When students frame, they add (or subtract) a "border" of fixed width about a geometric object....
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Paint Bucket Polygons
Michael Todd Edwards; Suzanne R. Harper
Teaching Children Mathematics Vol. 16, No. 7 (March 2010) pp. 420–428
During a two-week summer professional development workshop, teams of intermediate-level school teachers and college methods instructors crafted mathematics learning modules--activities, lesson plans, work sheets, and technology-oriented tasks--with...
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Preservice Teachers' Emerging TPACK in a Technology-Rich Methods Class
S Asli Ozgun-Koca; Michael Meagher; Michael Todd Edwards
Mathematics Educator Vol. 19, No. 2 (2010) pp. 10–20
There is a dearth of research on the mechanisms for preservice teachers' development of the pedagogical knowledge necessary for effective use of such technologies. We explored the emergent Technological Pedagogical and Content Knowledge (TPACK) ...
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A Case Study Investigation of Student Response to Collaborative Textbook Authoring using Wikis
Jason Abbitt; Michael Todd Edwards
World Conference on E-Learning in Corporate, Government, Healthcare, and Higher Education 2008 (Nov 17, 2008) pp. 526–539
This in-progress study will present a case study concerning the use of a wiki system with undergraduate and graduate students to develop a collaboratively authored web-based textbook. Participants include undergraduate and graduate students...
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Can You Fathom This? Connecting Data Analysis, Algebra, and Geometry with Probability Simulation
Michael Todd Edwards; Steve Phelps
Mathematics Teacher Vol. 102, No. 3 (October 2008) pp. 210–216
Data analysis plays a prominent role in various facets of modern life: Schools evaluate and revise programs on the basis of test scores; policymakers make decisions on the basis of information gleaned from polling data; supermarkets stock shelves on ...
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"Shutting the Box": Fostering Collaboration Among Early Grades and Secondary Preservice Teachers Through Authentic Problem Solving
Michael Todd Edwards
Contemporary Issues in Technology and Teacher Education Vol. 6, No. 4 (December 2006) pp. 374–398
In this paper are discussed recent efforts to provide preservice mathematics teachers with opportunities to connect elementary teaching methods and content with the content and methods of secondary school mathematics. Through an in-depth exploration ...
Topics: Teachers, Computers, Mathematics, Elementary Education, Educational Technology, Computer Sciences, Collaboration
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The electronic “other”: A study of calculator-based symbolic manipulation utilities with secondary school mathematics students
Michael Todd Edwards
The electronic “other”: A study of calculator-based<p>symbolic@manipulation@utilities with secondary school mathematics@students (2001) pp. 1–383
This study investigated two groups of suburban high school students using computer algebra systems (CAS). The CAS group used symbolic manipulation utilities systematically throughout the school year. The non-CAS group did not. Group...
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Computer Algebra Systems: Revolution or Retrofit for Today's Mathematics Classrooms?
M Kathleen Heid; Michael Todd Edwards
Theory Into Practice Vol. 40, No. 2 (2001) pp. 128–36
Discusses how to define and teach algebra given the available technology, highlighting computer algebra systems (CAS), which feature multiply-linked graphical, numerical, and symbolic manipulation utilities. The article describes: today's versus...