Computer Aided Assessment of Mathematics

Computer Aided Assessment of Mathematics
Author: Chris Sangwin
Publisher: Oxford University Press
Total Pages: 196
Release: 2013-05-02
Genre: Education
ISBN: 0199660352

Computer aided assessment is rapidly becoming widely used in mathematics education from open access learning materials to interactive materials and online assessments. This book provides a survey of the field, theoretical background and practical examples. It is aimed at any teachers interested in using or developing their own online assessments.

Mathematical Problem Solving

Mathematical Problem Solving
Author: ALAN H. SCHOENFELD
Publisher: Elsevier
Total Pages: 426
Release: 2014-06-28
Genre: Mathematics
ISBN: 1483295486

This book is addressed to people with research interests in the nature of mathematical thinking at any level, topeople with an interest in "higher-order thinking skills" in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, "rules of thumb" for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize the knowledge at their disposal; and belief systems, one's perspectives regarding the nature of a discipline and how one goes about working in it. Part Two of the book, consisting of Chapters 6 through 10, presents a series of empirical studies that flesh out the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal. They include observations of students, indicating some typical roadblocks to success. Data taken from students before and after a series of intensive problem-solving courses document the kinds of learning that can result from carefully designed instruction. Finally, observations made in typical high school classrooms serve to indicate some of the sources of students' (often counterproductive) mathematical behavior.

Problem-Solving Through Problems

Problem-Solving Through Problems
Author: Loren C. Larson
Publisher: Springer Science & Business Media
Total Pages: 322
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461254981

This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.

A Description of the Computer Assisted Assessment Program in University Elementary Algebra at Norfolk State University

A Description of the Computer Assisted Assessment Program in University Elementary Algebra at Norfolk State University
Author: Ronald L. White
Publisher:
Total Pages: 29
Release: 2008
Genre:
ISBN:

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 curriculum to improve student achievement. The Department of Mathematics at Norfolk State University (NSU) realizes that the use of technology (and its integration into the mathematics curriculum) may be a possible solution to the problem of low student academic achievement in undergraduate mathematics programs. As a result, the Department integrated a computer-assisted assessment (CAA) system to expose students to new advances in technology and to improve student achievement in mathematics courses. The present CAA system has been in effect since the fall semester of 2000 for their Mathematics 101 course, a one semester developmental course in university elementary algebra. This paper is a description of that system. The following are appended: (1) Elementary Algebra syllabus offered by the Mathematics Department at NSU; (2) CAA deadline schedule; (3) sample CAA test; and (4) sample CAA final report.

Mathematical Problem Solving and New Information Technologies

Mathematical Problem Solving and New Information Technologies
Author: Joao P. Ponte
Publisher: Springer Science & Business Media
Total Pages: 361
Release: 2013-06-29
Genre: Computers
ISBN: 3642581420

A strong and fluent competency in mathematics is a necessary condition for scientific, technological and economic progress. However, it is widely recognized that problem solving, reasoning, and thinking processes are critical areas in which students' performance lags far behind what should be expected and desired. Mathematics is indeed an important subject, but is also important to be able to use it in extra-mathematical contexts. Thinking strictly in terms of mathematics or thinking in terms of its relations with the real world involve quite different processes and issues. This book includes the revised papers presented at the NATO ARW "Information Technology and Mathematical Problem Solving Research", held in April 1991, in Viana do Castelo, Portugal, which focused on the implications of computerized learning environments and cognitive psychology research for these mathematical activities. In recent years, several committees, professional associations, and distinguished individuals throughout the world have put forward proposals to renew mathematics curricula, all emphasizing the importance of problem solving. In order to be successful, these reforming intentions require a theory-driven research base. But mathematics problem solving may be considered a "chaotic field" in which progress has been quite slow.

Conceptual Model-Based Problem Solving

Conceptual Model-Based Problem Solving
Author: Yan Ping Xin
Publisher: Springer Science & Business Media
Total Pages: 267
Release: 2013-02-11
Genre: Education
ISBN: 9462091048

Are you having trouble in finding Tier II intervention materials for elementary students who are struggling in math? Are you hungry for effective instructional strategies that will address students’ conceptual gap in additive and multiplicative math problem solving? Are you searching for a powerful and generalizable problem solving approach that will help those who are left behind in meeting the Common Core State Standards for Mathematics (CCSSM)? If so, this book is the answer for you. • The conceptual model-based problem solving (COMPS) program emphasizes mathematical modeling and algebraic representation of mathematical relations in equations, which are in line with the new Common Core. • “Through building most fundamental concepts pertinent to additive and multiplicative reasoning and making the connection between concrete and abstract modeling, students were prepared to go above and beyond concrete level of operation and be able to use mathematical models to solve more complex real-world problems. As the connection is made between the concrete model (or students’ existing knowledge scheme) and the symbolic mathematical algorithm, the abstract mathematical models are no longer “alien” to the students.” As Ms. Karen Combs, Director of Elementary Education of Lafayette School Corporation in Indiana, testified: “It really worked with our kids!” • “One hallmark of mathematical understanding is the ability to justify,... why a particular mathematical statement is true or where a mathematical rule comes from” (http://illustrativemathematics.org/standards). Through making connections between mathematical ideas, the COMPS program makes explicit the reasoning behind math, which has the potential to promote a powerful transfer of knowledge by applying the learned conception to solve other problems in new contexts. • Dr. Yan Ping Xin’s book contains essential tools for teachers to help students with learning disabilities or difficulties close the gap in mathematics word problem solving. I have witnessed many struggling students use these strategies to solve word problems and gain confidence as learners of mathematics. This book is a valuable resource for general and special education teachers of mathematics. - Casey Hord, PhD, University of Cincinnati

Computer-aided Problem Solving for Scientists and Engineers

Computer-aided Problem Solving for Scientists and Engineers
Author: Sundaresan Jayaraman
Publisher: McGraw-Hill Companies
Total Pages: 486
Release: 1991
Genre: Engineering
ISBN:

This title is designed for undergraduate courses in computing or computer applications taken by engineering or science students. A brief introduction to basic computer concepts is followed by discussion of the various categories of software available for meeting the different types of tasks facing the engineer or scientist. The book includes coverage of spreadsheets, equation solving, database management, word processing, communication, graphics and utility.