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Science and Mathematics Education Commons™
Open Access. Powered by Scholars. Published by Universities.®
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- Mathematics Education (3)
- Anticipation (2)
- Algebraic inequalities and equations (1)
- Algebraic thinking (1)
- Basic operations (1)
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- Behavioral Schemas (1)
- Calculators (1)
- Cogenerative Dialogues (1)
- Cognition (1)
- Cognitive Disposition (1)
- Conceptual Change (1)
- Fact families (1)
- Foreseeing (1)
- Habits of Mind (1)
- High School Students (1)
- Integers (1)
- Long Term Internship (1)
- Mathematics education (1)
- Metacognition (1)
- Nature of Science (1)
- Predicting (1)
- Prediction (1)
- Secondary (1)
- Ways of Thinking (1)
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Articles 1 - 5 of 5
Full-Text Articles in Science and Mathematics Education
High School Students' Views Of Science In A University Science Internship With Cogenerative Dialogues, Gabriel M. Hayes
High School Students' Views Of Science In A University Science Internship With Cogenerative Dialogues, Gabriel M. Hayes
Open Access Theses & Dissertations
The purpose of this Thesis is to determine how participation in long term university science internships affect nature of science (NOS) conceptual change in high school students. The study was conducted on high school students who volunteered to participate in a seven month university science internship in west Texas. Student views of NOS were measured by pre- and post-internship interviews using five questions about NOS. Internship and no internship student responses were qualitatively analyzed to show change in views of NOS. Findings indicated that participation in long term science internships with cogenerative dialogues improved students conceptualizations of the social dimensions …
Assessing U.S. High School Mathematics Students' Dependency On Calculators For Basic Arithmetic Operations Involving Integers From Single-Digit Fact Families, John Jeremy Sneed
Assessing U.S. High School Mathematics Students' Dependency On Calculators For Basic Arithmetic Operations Involving Integers From Single-Digit Fact Families, John Jeremy Sneed
Open Access Theses & Dissertations
This study was designed to investigate the extent to which high school students use calculators to perform basic operations, and how well they actually perform those same operations without using calculators. The investigation involved the testing of math classes of students--male and female, mixed ethnicities--in grades nine through twelve. Students were asked to perform all four basic math operations (add, subtract, multiply, divide) involving integers based on single-digit addition and multiplication fact families with and without calculators. The testing was in two environments--timed and untimed, with students recording their completion times--in order to investigate discrepancies in students' calculator use in …
Mathematical Habits Of Mind, Kien H. Lim, Annie Selden
Mathematical Habits Of Mind, Kien H. Lim, Annie Selden
Kien H Lim
The idea of “mathematical habits of mind” has been introduced to emphasize the need to help students think about mathematics “the way mathematicians do.” There seems to be considerable interest among mathematics educators and mathematicians in helping students develop mathematical habits of mind. The objectives of this working group are: (a) to discuss various views and aspects of mathematical habits of mind, (b) to explore avenues for research, (c) to encourage research collaborations, and (d) to interest doctoral students in this topic. To facilitate the discussion during the working group meetings, we provide an overview of mathematical habits of mind, …
Improving Students’ Algebraic Thinking: The Case Of Talia, Kien H. Lim
Improving Students’ Algebraic Thinking: The Case Of Talia, Kien H. Lim
Kien H Lim
This paper presents the case of an 11th grader, Talia, who demonstrated improvement in her algebraic thinking after five one-hour sessions of solving problems involving inequalities and equations. She improved from association-based to coordination-based predictions, from impulsive to analytic anticipations, and from inequality-as-a-signal-for-a-procedure to inequality-as-a-comparison-of-functions conceptions. In the one-on-one teaching intervention, she progressed from the sub-context of manipulating symbols, to working with specific numbers, to reasoning with “general” numbers, and eventually to reasoning with symbols. Three features were identified to account for her improvement: (a) attention to meaning, (b) opportunity to repeat similar reasoning, and (c) opportunity to explore.
Characterizing Students’ Thinking: Algebraic Inequalities And Equations, Kien H. Lim
Characterizing Students’ Thinking: Algebraic Inequalities And Equations, Kien H. Lim
Kien H Lim
This paper presents the findings of a study that explores the viability of using students’ act of anticipating as a means to characterize the way students think while solving problems in algebra. Two types of anticipating acts were identified: predicting a result and foreseeing an action. These acts were characterized using Harel’s framework, which involves the concepts of mental act, way of understanding, and way of thinking. Categories for characterizing acts of predicting and foreseeing were identified and developed based on thirteen 11th graders’ responses to problems involving algebraic inequalities and equations. The quality of students’ acts of predicting and …