Download or read book An Investigation of the Effects of the Geometric Supposer Software on Geometric Proof Writing at the Grade 10 Level written by Josephine Regina Worster and published by . This book was released on 1989 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Investigation of the Effects that the Geometric Supposer Triangles Has on Student Problem Solving Skills when Taught Within a Unit of Instruction written by Kelly Kean Bokn and published by . This book was released on 1996 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Geometric Supposer written by Judah L. Schwartz and published by Routledge. This book was released on 2013-06-17 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a case study of education reform and innovation using technology that examines the issue from a wide variety of perspectives. It brings together the views and experiences of software designers, curriculum writers, teachers and students, researchers and administrators. Thus, it stands in contrast to other analyses of innovation that tend to look through the particular prisms of research, classroom practice, or software design. The Geometric Supposer encourages a belief in a better tomorrow for schools. On its surface, the Geometric Supposer provides the means for radically altering the way in which geometry is taught and the quality of learning that can be achieved. At a deeper level, however, it suggests a powerful metaphor for improving education that can be played out in many different instructional contexts.
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1988 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Effects of a Proof Mapping Instructional Technique on High School Geometry Students and Their Ability to Write Geometric Proofs written by Leanne Linares and published by . This book was released on 2008 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Comprehensive Dissertation Index written by and published by . This book was released on 1989 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Investigation of Tenth Grade Students Views of the Purpose of Geometric Proof written by Mary Katherine Gfeller and published by . This book was released on 2004 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this investigation was to describe tenth grade students' views of the purposes of geometric proof within the context of their learning. Classroom observations, the curriculum, assessment tools, journal questions, and a preconceptions questionnaire were used to provide context for the views expressed by students from a single classroom. Eleven classroom episodes selected from the classroom observations were used to describe the instructional context as well as discourse among the students during group work. The episodes provided details about how and when the classroom teacher addressed various purposes of proofs involving geometry concepts throughout two instructional units on coordinate geometry proofs and two-column proofs. The episodes also consisted of student discourse relating to the purposes of geometric proof as students worked on assigned proof problems. The students' views were examined through journal questions given at the beginning of selected days and through a post-instruction questionnaire and individual interviews. There were three main findings of the study. First, several students experienced difficulty in expressing their views of the purposes of geometric proof when asked directly. One-third of the students could only list properties or theorems they encountered during the unit on geometric proof. However, when these students were asked to describe the purpose for each column, all of the students listed both explanation and verification. Second, the students expressed limited views of the purposes of proof, referring mainly to verification. Only a few students mentioned explanation, systematization, and communication. However, students generally referred to at least two purposes of proof (explanation, verification, and communication) when describing the proving process involved in coordinate geometry. Third, the students' views of various purposes of geometric proof were diverse. Recommendations for future research include the examination of students' views of the purposes of geometric proofs for students who use paragraph form and studies to investigate the development of students' views of the purposes of proof as they gain more experience with formal proof writing and other methods of proof.
Download or read book The Effects of Two Proof Formats in Geometry Proof Writing Achievement written by Judith B. Wolfe and published by . This book was released on 1985 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Machine Proofs In Geometry Automated Production Of Readable Proofs For Geometry Theorems written by Jing-zhong Zhang and published by World Scientific. This book was released on 1994-04-06 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports recent major advances in automated reasoning in geometry. The authors have developed a method and implemented a computer program which, for the first time, produces short and readable proofs for hundreds of geometry theorems.The book begins with chapters introducing the method at an elementary level, which are accessible to high school students; latter chapters concentrate on the main theme: the algorithms and computer implementation of the method.This book brings researchers in artificial intelligence, computer science and mathematics to a new research frontier of automated geometry reasoning. In addition, it can be used as a supplementary geometry textbook for students, teachers and geometers. By presenting a systematic way of proving geometry theorems, it makes the learning and teaching of geometry easier and may change the way of geometry education.
Download or read book The Impact of the Use of Dynamic Software as a Teaching Tool in Geometry written by Jason L. Bouffard and published by . This book was released on 2015 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first objective of this study was to investigate the effects of the use of Geometer's Sketchpad (GSP) on students' achievement on traditional assessments in Geometry. The second objective of the study was to determine the impact of technology on students' attitudes towards geometry. This research was conducted in four geometry classes at a secondary school in Connecticut. Eighty-six students participated in this study. The control group was composed of one honors level class with 23 students and one academic level class with 19 students and was taught geometric constructions through the use of traditional tools, including a pair of compasses, straightedge, pencil, and paper. The experimental group was composed of one honors level class with 23 students and one academic level class with 21 students and was taught geometric constructions through the use of GSP. Each group performed constructions of the same geometric figures and were asked to make conjectures based on their findings. All students in the study were required to complete the same assessment and the same questionnaire describing their experience. This exploratory study did not find enough significant evidence to show that all high school students achieve at a higher rate through the use of GSP. There was some evidence that suggests that males' achievement might be higher through the use of GSP and further research should be done to investigate this conjecture. Across the board, students showed an increase in enjoyment and felt that their results were more accurate through the use of technology. Students also felt that their conjectures are easier to verify through technology rather than through the use of hand tools. These preliminary findings will be able to focus the attention of teachers what aspects they will have to consider if they want to implement dynamic geometry software in their classrooms. This exploratory study yielded preliminary data and could be used in the design of a full scale study.
Download or read book Reading Writing and Doing Mathematical Proofs written by Daniel Solow and published by Dale Seymour Publication. This book was released on 1984-01-01 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Effects of Proof on Achievement and Reasoning Ability of Students in Geometry written by Charles Garabedian and published by . This book was released on 1981 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Writing Mathematical Proofs written by Prof Thomas Bieske and published by Createspace Independent Publishing Platform. This book was released on 2017-05-29 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed to help students transition from calculus-type courses that focus on computation to upper-level mathematics courses that focus on proof-writing. Using the familiar topics of real numbers, high school geometry and calculus, students are introduced to the methods of proof-writing and pre-proof strategy planning. A supplemental workbook for instructors is available upon request from the author. The workbook includes chapter vocabulary lists, creative writing exercises, group projects, and classroom discussions.
Download or read book Mechanical Linkages Interactive Geometry Software and Argumentation written by Jill Vincent and published by LAP Lambert Academic Publishing. This book was released on 2010-05-14 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is proof which sets mathematics apart from the empirical sciences, and forms the foundation of our mathematical knowledge, yet students often fail to understand the purpose of proof, they are unable to construct proofs, and instead readily accept empirical evidence or the authority of textbooks or teachers. This research focuses on the role of mechanical linkages (devices based on systems of hinged rods) and interactive geometric software as cognitive bridges between empirical justification and deductive reasoning. The provision of motivating contexts was found to foster conjecturing and argumentation, during which the eighth grade students in the project engaged in sustained deductive reasoning in support of their conjectures and achieved high levels of success with geometric proof. Mechanical linkages and their dynamic geometry computer simulations were shown by this research to be highly suitable contexts for bridging empirical and deductive reasoning.
Download or read book Reasoning and Geometric Proof in Mathematics Education A Review of the Literature written by and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this literature review is to examine the role that reasoning and geometric proof play in the teaching and learning of mathematics. Specifically, I explore four questions: 1) What reasoning capabilities do students need to be ready for proof? 2) What evidence is there to show that high school students are not successful with proof and hold misconceptions about the nature of proof? 3) How can teachers' beliefs and understandings contribute to students' proof abilities? 4) What can be done to promote mathematical reasoning and improve students' proof writing skills? Through a comparison of the theories of Piaget and van Hiele, I discuss how students acquire mathematical and geometric reasoning skills and how this relates to their readiness to produce formal proofs. I then discuss research findings, which indicate that students are not typically at a high enough van Hiele level to be successful with proof by the time they get to high school. Further research is presented which examines common geometric and proof misconceptions among students, and how this relates to proof achievement. Teacher proof-conceptions and achievement are also discussed, citing studies with elementary, middle, and high school preservice and inservice teachers, and how this may affect students' proof performance. Finally, I discuss ways in which preservice and inservice teachers can help their students improve their mathematical and geometric reasoning skills, thus furthering their proof comprehension and achievement.
Download or read book Teaching Mathematics in Grades 6 12 written by Randall E. Groth and published by SAGE Publications. This book was released on 2012-08-10 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a "researcher—constantly experimenting with methods for developing students' mathematical thinking—and connecting this research to practices that enhance students' understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students' thinking may develop in response to different teaching strategies.
Download or read book The Effects of The Geometric Supposers written by Marie Eileen Sanley Smyser and published by . This book was released on 1994 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
