Search results for author:"Sharon Dugdale"
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Establishing Computers as an Optional Problem Solving Tool in a Nontechnological Mathematics Context
Sharon Dugdale
International Journal of Computers for Mathematical Learning Vol. 4, No. 2 (1999) pp. 151–67
Learners' choices of problem solving tools and techniques are influenced by the context in which the problem is encountered, and methods utilized in one context may not be recognized as natural ways to proceed in another. Explores the process of...
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Newton's Method for Square Root: A Spreadsheet Investigation and Extension into Chaos
Sharon Dugdale
Mathematics Teacher Vol. 91, No. 7 (1998) pp. 576–85
Describes a spreadsheet model for approximating square roots then extends that model into the intriguing domain of chaos. Focuses on the use of a dynamic model to promote habits of mathematical reasoning, conjecturing, and graphing analysis that...
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Beyond the Evident Content Goals Part III. An Undercurrent-Enhanced Approach to Trigonometric Identities
Sharon Dugdale
Journal of Mathematical Behavior Vol. 9, No. 3 (1990) pp. 233–87
The third in a series of 3 articles, a study of 30 students was conducted to test the effect of restructuring a unit on trigonometric identities around microcomputer activities based on the themes of educational undercurrents identified in Part II....
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Pathfinder: A Microcomputer Experience in Interpreting Graphs
Sharon Dugdale
Journal of Educational Technology Systems Vol. 15, No. 3 (1987) pp. 259–80
Describes Pathfinder, a microcomputer software package designed to improve students' understanding and skills in interpreting graphs of physical phenomena which was tested in high school math classes. Differences in strategies between various...
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Using Students' Mathematical Inventiveness as a Foundation for Software Design: Toward a Tempered Constructivism
Sharon Dugdale
Educational Technology Research and Development Vol. 42, No. 1 (1994) pp. 57–73
Analyzes the construction of mathematical concepts and techniques developed by high school algebra students in computer-assisted instruction; examines learning styles of the most inventive students; and discusses the use of student-generated...
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Order Out of Chaos: A Spreadsheet Excursion Into a Mathematical Frontier
Sharon Dugdale
Journal of Computers in Mathematics and Science Teaching Vol. 20, No. 3 (2001) pp. 323–341
Technology offers new pathways of exploration and ready access to new domains of mathematical inquiry. When students' exploration of a familiar model expanded into apparently chaotic behavior, the spreadsheet environment provided both the entrance...
Topics: Students, Behavior, Mathematics
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Technology in Support of Middle Grade Mathematics: What Have We Learned?
Sharon Dugdale
Journal of Computers in Mathematics and Science Teaching
Use of technology in middle grade mathematics is controversial. Major policy documents have teachers torn between enthusiasm for technology-facilitated mathematical investigation and cautions about undermining students’ computational skills. This...
Topics: Middle School
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Order Out of Chaos: A Spreadsheet Excursion into a Mathematical Frontier
Sharon Dugdale
Journal of Computers in Mathematics and Science Teaching Vol. 20, No. 4 (2001) pp. 347–365
Technology offers new pathways of exploration and ready access to new domains of mathematical inquiry. When students' exploration of a familiar model expanded into apparently chaotic behavior, the spreadsheet environment provided both the entrance...
Topics: Mathematics, Behavior, Students
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Beyond the Evident Content Goals Part I. Tapping the Depth and Flow of the Educational Undercurrent
Sharon Dugdale; David Kibbey
Journal of Mathematical Behavior Vol. 9, No. 3 (1990) pp. 201–28
The first in a series of three articles, successful instructional materials from a 15-year software development effort are analyzed and characterized with special attention given to educational experiences intended to shape students' perceptions of...
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The CMETS Program: Grounding Middle Grade Mathematics and Technology Professional Development in Research-Based Best Practice
Shannon Guerrero; Sharon Dugdale
International Journal for Technology in Mathematics Education Vol. 16, No. 4 (2009) pp. 155–167
The past few decades have seen middle school teachers in the United States hit especially hard by contradictory messages about the use and importance of technology in support of their standards-based mathematics teaching. This paper considers this...
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Beyond the Evident Content Goals Part II. Toward a Theory of Educational Undercurrent
Sharon Dugdale; Rand J. Spiro
Journal of Mathematical Behavior Vol. 9, No. 3 (1990) pp. 229–32
The second in a series of three articles, some themes of an undercurrent of educational objectives that move beyond the evident content goals are outlined. The themes relate the computer software materials analyzed in Part I to the cognitive...
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Computer Course Enrollment, Home Computer Access, and Gender: Relationships to High School Students' Success with Computer Spreadsheet Use for Problem Solving in Pre-Algebra
Sharon Dugdale; Elyon DeKoven; Mi-Kyung Ju
Journal of Educational Computing Research Vol. 18, No. 1 (1998) pp. 49–62
A study of 50 students (grade 9) enrolled in a computer course found that home computer access for females was a predictor of early success for using computers as a learning resource and that enrollment in a computer course was greater for females...
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Technology in Support of Middle Grade Mathematics: What Have We Learned?
Shannon Guerrero; Norman Walker; Sharon Dugdale
Journal of Computers in Mathematics and Science Teaching Vol. 23, No. 1 (2004) pp. 5–20
Use of technology in middle grade mathematics is controversial. Major policy documents have teachers torn between enthusiasm for technology-facilitated mathematical investigation and cautions about undermining students' computational skills. This...
Topics: Teachers, Mathematics, Attitudes, Students
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The Art of Posing Problems and Guiding Investigations
Sharon Dugdale; James I. Matthews; Shannon Guerrero
Mathematics Teaching in the Middle School Vol. 10, No. 3 (October 2004) pp. 140–147
This article describes a teacher's techniques and strategies for promoting productive discourse and supporting active learning in the mathematics classroom. The lesson excerpts included are from two days of a workshop with primarily middle-grades...
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Mathematical Problem Solving and Computers: A Study of Learner-Initiated Application of Technology in a General Problem-Solving Context
Sharon Dugdale; Owen LeGare; James I. Matthews; Mi-Kyung Ju
Journal of Research on Computing in Education Vol. 30, No. 3 (1998) pp. 239–53
A study of 38 K-12 teachers at the 1996 summer institute of the Northern California Mathematics Project suggested that a learning environment incorporating technology, facilities for sharing computer solutions, and development of skills with...
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Spreadsheets: A New Form of Educational Software for School Mathematics?
Sergei Abramovich; Hollylynne Stohl Drier; Sharon Dugdale; Simon Mochon; Erich Neuwirth; John Woodward
International Conference on Mathematics / Science Education and Technology 1999 (1999) pp. 390–395
It has been a worldwide concern that novice mathematics teachers are not well prepared to use technology in the classroom. The lack of such preparation may be due, in part, to a gap between technology offered by schools of education and what the...
Topics: Mathematics, Educational Technology, Teachers, Schools