Thinking Precalculus


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The Effects of Using Writing in the Math Classroom on Student Achievement in Math


Book Description

The demands of local, state, and national mandates on the classroom teacher became overwhelming to me. I decided that it must be possible to work towards several goals without doing several tasks. As a result, I implemented writing would affect student achievement. The study was implemented with 22 pre-calculus students during the first nine-week term of 2007-2008 school year at Benton Community Schools. Existing student attitudes towards math were assessed with a survey at the beginning of the study and reassessed at the conclusion of the study. A pretest of pre-calculus concepts was given at the beginning and at the conclusion of the study. Questions were split between skill-based questions, which required a numeric response, and conceptual-based questions, which required a numeric response, and conceptual-based questions, which required a written explanation. Students also wrote in a journal an average of two times per week. Two formal writing assignments were also given throughout the nine-week study. Results showed an increase in the number of students showing a positive attitude towards math along with an increase in student achievement. These results may be due to the implementation of writing in the mathematic curriculum.







BIO2010


Book Description

Biological sciences have been revolutionized, not only in the way research is conductedâ€"with the introduction of techniques such as recombinant DNA and digital technologyâ€"but also in how research findings are communicated among professionals and to the public. Yet, the undergraduate programs that train biology researchers remain much the same as they were before these fundamental changes came on the scene. This new volume provides a blueprint for bringing undergraduate biology education up to the speed of today's research fast track. It includes recommendations for teaching the next generation of life science investigators, through: Building a strong interdisciplinary curriculum that includes physical science, information technology, and mathematics. Eliminating the administrative and financial barriers to cross-departmental collaboration. Evaluating the impact of medical college admissions testing on undergraduate biology education. Creating early opportunities for independent research. Designing meaningful laboratory experiences into the curriculum. The committee presents a dozen brief case studies of exemplary programs at leading institutions and lists many resources for biology educators. This volume will be important to biology faculty, administrators, practitioners, professional societies, research and education funders, and the biotechnology industry.




The Effects of Instruction in Recreational Mathematics on Attitudes and Beliefs about Mathematics of High School, Low-achieving Mathematics Students


Book Description

The study was designed to see whether using recreational mathematics topics as a curriculum supplement would affect high school students' attitudes and beliefs about mathematics. Recreational mathematics--defined as mathematics presented in a spirit of play--has been used mostly with gifted students. This study attempted to extend the knowledge base to its effects on low achievers. The results supported previous work that showed that attitudes and beliefs are difficult to change. The treatment had only limited effect on attitudes and slightly larger effects on beliefs. Several unexpected gender differences emerged, however. All students enrolled in Consumer Mathematics I at an urban/suburban midwestern high school (N = 81) were included in the study. Seven attitudes and 9 beliefs were surveyed using a researcher-designed questionnaire administered at the beginning and end of the 1-semester class. Achievement was monitored using a test over the mathematics content of the course. Treatment students worked on recreational mathematics during 1 or 2 class periods--an average of 50 to 75 minutes per week--for 13 weeks. Control students spent equivalent time extending or practicing the consumer mathematics content. Results showed that, at the .05 level of confidence, recreational mathematics was effective in changing only 1 of 7 attitudes--concern about the opinions of others--with females in the control group demonstrating increased concern, while treatment females and all males showed a decline. The treatment also was successful in changing beliefs about the amount of time necessary to work mathematics problems, showing that treatment students were willing to spend more time on a problem. Gender-treatment interaction effects were found on beliefs about time, about mathematics being a male domain, and about mathematics being driven by rules. No differences were observed in achievement, indicating that the supplements to the regular curriculum did not harm treatment students.




The Effects on Student Achievement and Attitudes of Incorporating a Computer Algebra System Into a Remedial College Mathematics Course


Book Description

Abstract: The current study examined the effects of using a computer algebra system (CAS) and graphing utility on the achievement and attitudes of students in remedial college mathematics. The participants were enrolled in night sections of a basic algebra course and were identified for remedial work by a placement examination. Students came from various mathematical backgrounds, but all had experienced a cycle of mathematical failure that needed to be broken.