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Sangwin, Christopher J. – International Journal of Mathematical Education in Science and Technology, 2007
This paper concerns computer aided assessment (CAA) of mathematics in which a computer algebra system (CAS) is used to help assess students' responses to elementary algebra questions. Using a methodology of documentary analysis, we examine what is taught in elementary algebra. The STACK CAA system,, which uses the CAS…
Descriptors: Arithmetic, Algebra, Computer Assisted Testing, Mathematics Instruction
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George, Michael; Khazanov, Leonid; McCarthy, Chris – Community College Journal of Research and Practice, 2015
Remedial mathematics at the college level has evidenced strikingly low retention and passing rates. It has been shown that at least 25% of the variation in student performance is explained by students' affective variables such as attitudes, study skills, and mathematics anxiety. This study endeavored to address affective variables by: (a)…
Descriptors: Peer Teaching, Coaching (Performance), At Risk Students, Remedial Mathematics
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Hohensee, Charles – Journal of Mathematics Teacher Education, 2017
Researchers have argued that integrating early algebra into elementary grades will better prepare students for algebra. However, currently little research exists to guide teacher preparation programs on how to prepare prospective elementary teachers to teach early algebra. This study examines the insights and challenges that prospective teachers…
Descriptors: Algebra, Preservice Teachers, Preservice Teacher Education, Mathematics Instruction
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Schrier, Joshua – Journal of Chemical Education, 2021
Multicomponent solution calculations can be complicated for students and practiced chemists alike. This article describes how to simplify the calculations by representing a solution's composition as a point in a "concentration space," whose axes are the concentrations of each solute. The graphical representation of mixing processes in a…
Descriptors: Chemistry, Problem Solving, Computation, Visual Aids
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Logue, A. W.; Watanabe-Rose, Mari; Douglas, Daniel – Educational Evaluation and Policy Analysis, 2016
Many college students never take, or do not pass, required remedial mathematics courses theorized to increase college-level performance. Some colleges and states are therefore instituting policies allowing students to take college-level courses without first taking remedial courses. However, no experiments have compared the effectiveness of these…
Descriptors: Remedial Mathematics, College Mathematics, College Students, Randomized Controlled Trials
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Sangwin, Christopher James – International Journal of Mathematical Education in Science and Technology, 2019
The rules of indices, e.g. a[superscript n] b[superscript n] = (ab)[superscript n], are a particularly important part of elementary algebra. This paper reports results from a textbook analysis which examined how the shift from integer to rational exponents in the rules of indices is discussed in school textbooks. The analysis also considered…
Descriptors: Algebra, Mathematical Concepts, Symbols (Mathematics), Computation
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Ding, Meixia; Hassler, Ryan; Li, Xiaobao – International Journal of Mathematical Education in Science and Technology, 2021
Instructional principles gleaned from cognitive science play a critical role in improving classroom teaching. This study examines how three cognitive instructional principles including worked examples, representations, and deep questions are used in eight experienced elementary teachers' early algebra lessons in the U.S. Based on the analysis of…
Descriptors: Mathematics Instruction, Teaching Methods, Correlation, Cognitive Science
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Hauk, Shandy; Matlen, Bryan – Grantee Submission, 2016
A variety of computerized interactive learning platforms exist. Most include instructional supports in the form of problem sets. Feedback to users ranges from a single word like "Correct!" to offers of hints and partially to fully worked examples. Behind-the-scenes design of such systems varies as well --from static dictionaries of…
Descriptors: Community Colleges, College Mathematics, Algebra, Web Based Instruction
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Piercey, Victor; Militzer, Erin – PRIMUS, 2017
Quantitative Reasoning for Business is a two-semester sequence that serves as an alternative to elementary and intermediate algebra for first-year business students with weak mathematical preparation. Students who take the sequence have been retained at a higher rate and demonstrated a larger reduction in math anxiety than those who take the…
Descriptors: College Mathematics, Inquiry, Business Administration Education, Algebra
Ellerton, Nerida F.; Kanbir, Sinan; Clements, M. A. – Mathematics Education Research Group of Australasia, 2017
In this paper, we identify, from historical vantage points, the following six purposes of school algebra: (a) algebra as a body of knowledge essential to higher mathematical and scientific studies, (b) algebra as generalised arithmetic, (c) algebra as a prerequisite for entry to higher studies, (d) algebra as offering a language and set of…
Descriptors: Algebra, Mathematics Instruction, Educational History, Secondary School Mathematics
White, Ronald L.; Myers, Shadana; Earl, Archie W., Sr. – Online Submission, 2008
Many colleges and universities today are faced with the problem of low student academic achievement in math. Some of them are trying to improve student academic achievement through the use of technology. Their proposed solution is to teach children how to use the technological tools available to them and integrate that technology into the…
Descriptors: Algebra, Computer Assisted Testing, College Mathematics, Mathematics Tests
Gilbert, Jeremiah A. – ProQuest LLC, 2010
With the rise of nontraditional students at the college level, nontraditional course formats have been added to address student need. These alternate course formats include online, weekend, short-term, and computer assisted instruction courses. The purpose of this study was to look at the effect of these alternate course formats on student…
Descriptors: Nontraditional Students, Student Needs, Computer Assisted Instruction, Interaction
Stryk, Diane M. – ProQuest LLC, 2018
Community college leaders have spent years trying to improve success rates for students in developmental mathematics (DM) courses, but with little progress. This quantitative study, using a pre-experimental static-group research design, examined if a change in a community college district's policy and practices for student placement into DM…
Descriptors: Remedial Mathematics, Community Colleges, Two Year College Students, Student Placement
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Ahlgren Reddy, Alison; Harper, Marc – PRIMUS, 2013
Data from the ALEKS-based placement program at the University of Illinois is presented visually in several ways. The placement exam (an ALEKS assessment) contains precise item-specific information and the data show many interesting properties of the student populations of the placement courses, which include Precalculus, Calculus, and Business…
Descriptors: Mathematics Education, College Mathematics, Student Placement, Scores
Burrow, Susan C. – ProQuest LLC, 2013
The purpose of this quantitative study was to determine if a relationship existed between success in elementary algebra and a set of predictor variables including COMPASS score and high school GPA. Relationships for intermediate algebra and college credit accumulation over three semesters were also examined with COMPASS score and high school GPA…
Descriptors: Statistical Analysis, Standardized Tests, Correlation, Algebra
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