Download or read book The Effect of Graphing Calculators on Learning Algebraic Concepts in Junior High School Mathematics written by Jacob Darren Wolf and published by . This book was released on 2001 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Role of Graphing Calculators in Students Algebraic Thinking written by Sandy Margaret Spitzer and published by ProQuest. This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Chapter 1 provides a review of the literature on the effects of using graphing calculators on students' mathematics achievement. General findings suggest that calculators can have a positive effect on students' performance on assessments. In particular, students using graphing calculators seem to do better on some types of problems, such as those requiring translation between different representations of a function, and perform about the same as students without calculators on procedural symbolic-manipulation problems. In order to identify possible mechanisms for these changes, the chapter explores four possible reasons for students' improved performance: improved representational fluency, wider repertoire of solution strategies, increased reification of mathematical concepts, and changes in classroom processes. While the general trend of improved achievement appears robust, none of the four hypothesized reasons for improvement were substantiated by enough data to be confirmed. While it appears that the basic effects of graphing calculators are relatively well determined, mechanisms for those effects are poorly understood. Chapter 2 presents the result of a study whose goal was to investigate how the presence of graphing calculator technology influences the mathematical ideas that students encounter while solving algebra problems. Thirty-three Algebra II students, divided randomly into two conditions, participated in task-based interviews. In one condition, students were encouraged to solve algebra problems using their graphing calculator, and in the other condition, students solved the same problems with no access to technology. Results indicate that when students used graphing calculators, they were more likely to interpret letters as variables rather than fixed unknowns, used a wider range of strategies, were more likely to use more than one strategy to solve a problem, and expressed deeper levels of conceptual understanding. The differences in conceptual understanding and interpretation of letters were strongly related to the types of strategies that students used to solve problems, with graphing and tables encouraging more sophisticated interpretations and evidence of conceptual understanding.

Download or read book How Students Think When Doing Algebra written by Steve Rhine and published by IAP. This book was released on 2018-11-01 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra is the gateway to college and careers, yet it functions as the eye of the needle because of low pass rates for the middle school/high school course and students’ struggles to understand. We have forty years of research that discusses the ways students think and their cognitive challenges as they engage with algebra. This book is a response to the National Council of Teachers of Mathematics’ (NCTM) call to better link research and practice by capturing what we have learned about students’ algebraic thinking in a way that is usable by teachers as they prepare lessons or reflect on their experiences in the classroom. Through a Fund for the Improvement of Post-Secondary Education (FIPSE) grant, 17 teachers and mathematics educators read through the past 40 years of research on students’ algebraic thinking to capture what might be useful information for teachers to know—over 1000 articles altogether. The resulting five domains addressed in the book (Variables & Expressions, Algebraic Relations, Analysis of Change, Patterns & Functions, and Modeling & Word Problems) are closely tied to CCSS topics. Over time, veteran math teachers develop extensive knowledge of how students engage with algebraic concepts—their misconceptions, ways of thinking, and when and how they are challenged to understand—and use that knowledge to anticipate students’ struggles with particular lessons and plan accordingly. Veteran teachers learn to evaluate whether an incorrect response is a simple error or the symptom of a faulty or naïve understanding of a concept. Novice teachers, on the other hand, lack the experience to anticipate important moments in the learning of their students. They often struggle to make sense of what students say in the classroom and determine whether the response is useful or can further discussion (Leatham, Stockero, Peterson, & Van Zoest 2011; Peterson & Leatham, 2009). The purpose of this book is to accelerate early career teachers’ “experience” with how students think when doing algebra in middle or high school as well as to supplement veteran teachers’ knowledge of content and students. The research that this book is based upon can provide teachers with insight into the nature of a student’s struggles with particular algebraic ideas—to help teachers identify patterns that imply underlying thinking. Our book, How Students Think When Doing Algebra, is not intended to be a “how to” book for teachers. Instead, it is intended to orient new teachers to the ways students think and be a book that teachers at all points in their career continually pull of the shelf when they wonder, “how might my students struggle with this algebraic concept I am about to teach?” The primary audience for this book is early career mathematics teachers who don’t have extensive experience working with students engaged in mathematics. However, the book can also be useful to veteran teachers to supplement their knowledge and is an ideal resource for mathematics educators who are preparing preservice teachers.

Download or read book The Nation s Report Card written by and published by . This book was released on 2001 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Impact of Using Graphing Calculators as an Aid for the Teaching and Learning of Precalculus in a University Setting written by Carl Wallace Norris and published by . This book was released on 1994 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Impact of Calculators on Mathematics Instruction written by George W. Bright and published by University Press of America. This book was released on 1994 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: From a May 1992 conference in Houston, 11 papers reflect on how calculators do and might influence the teaching of mathematics, and make recommendations for future efforts to integrate them into the curriculum. Among the topics are inservice training for teachers, the graphing calculator in pre-algebra courses, supercalculators in undergraduate mathematics, and surveys and assessments from various systems and levels. No index. Paper edition (unseen), $21.50. Annotation copyright by Book News, Inc., Portland, OR

Download or read book The Utilization of Graphing Calculators in Algebra I Instruction for Low SES Students written by Edna Horton Flores and published by . This book was released on 2009 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The National Council of Teachers of Mathematics (NCTM) asserts that a goal of mathematics education, in Prekindergarten through grade 12, is to develop mathematical power for all students, and that educational equity is the nucleus of this goal. Nevertheless, researchers have found that equity for all students in mathematics education has not been fully realized. African American students, especially those of low socioeconomic status (SES), are consistently shortchanged in the mathematics education they receive. According to NCTM, calculators can enhance the achievement of equity in mathematics education. The usage of graphing calculators in the teaching and learning of mathematics is advocated by NCTM and the National Research Council. A plethora of research shows that the use of graphing calculators has positive effects on students learning mathematics. Numerous studies have focused on the use of graphing calculators in secondary school mathematics. In particular, research has been conducted on the use of graphing calculators in Algebra I and Algebra II. A vast majority of students in these studies were White. The purpose of this descriptive study was to examine the use of graphing calculators in the teaching and learning of Algebra I for low-SES African American students. Specifically, this study investigated the similarities/difference in instruction, where graphing calculators were used and where they were not used, of a ninth-grade Algebra I unit on linear functions. This study used data from observations, interviews, and documents to examine teachers intended and implemented curriculum. Findings showed that teachers who used graphing calculators in instruction made connections between the different representations of functions. Teachers who did not use graphing calculators did not make connections between various ways to represent linear functions. Characteristics of standards-based instruction were observed in both groups.

Download or read book The Effects of Graphing Calculators and a Model for Conceptual Change on Community College Algebra Students Concept of Function written by Thomasenia Adams and published by . This book was released on 2019-05-31 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: Three treatment groups and a control group were compared on two dependent variables regarding their understanding of the concept of function. During the unit of study for the concept, Treatment Group I students used graphing calculators and participated in a conceptual change assignment. Treatment Group II students used graphing calculators only during study of the unit. Treatment Group III students participated in the conceptual change assignment only during the unit. Treatment Group IV served as a control group. Regarding students' understanding and application of the function concepts, domain and range, and their understanding of the concept of scale, the results of the covariate analysis revealed a significant treatment interaction effect. The least square means procedure indicated differences between Treatment Groups I and II, between Treatment Groups I and III, and between Treatment Groups III and IV. The group mean for students who used calculators only was significantly higher than the group mean for students who used calculators and participated in the assignment. The group mean for students who participated in the assignment only was significantly higher that the group means for a) students who used graphing calculators and participated in the assignment and b) students in the control group. Regarding students' ability to identify, construct, and define function, the results of the covariate analyses revealed a significant effect regarding the factor of conceptual change assignment. The group mean for students who participated in the assignment was significantly lower than the group mean for students who did not participate in the assignment. Exploratory analyses revealed that the students' definitions of the concept of function were dominated by the ordered pair representation of the concept. This point-wise view of functions was further emphasized through the students' images of the concept of function. Classroom observations of the treatment and control groups revealed additional information regarding the effect of the graphing calculator on classroom discourse. Dissertation Discovery Company and University of Florida are dedicated to making scholarly works more discoverable and accessible throughout the world. This dissertation, "The Effects of Graphing Calculators and a Model for Conceptual Change on Community College Algebra Students' Concept of Function" by Thomasenia Lott Adams, was obtained from University of Florida and is being sold with permission from the author. A digital copy of this work may also be found in the university's institutional repository, IR@UF. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation.

Download or read book Learning Intermediate Algebra with Graphing Calculator in Community College written by Nataliya Reznichenko and published by . This book was released on 2012 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since technology has taken its place in almost all classrooms in schools and colleges across the country, there is a need to know how technology influences the mathematics that is taught and how students learn. In this study, the graphing calculator (GC) (namely the Texas Instruments TI-83) was implemented as a tool to enhance learning of function concept in Intermediate Algebra, one of the developmental mathematics courses in the community college. This study employed a mixed methods methodology, combining quantitative and qualitative approaches to research design. In the quantitative component of the study, a quasi-experimental nonequivalent experimental and control group research design was utilized. In the qualitative component of the study, a free response questionnaire was utilized. To determine the effects of graphing calculator use on students' outcomes including mathematics achievement and students' attitudes toward mathematics and toward the graphing calculator, ANCOVA was applied to examine whether significant differences in students' outcomes exist between the experimental and control groups. To capture students' experiences with the graphing calculator in mathematics learning and discover their perceptions regarding graphing calculator use in learning of function concept, a free response questionnaire was given to the experimental group. Social constructivism was the theoretical framework that guided this study and data were analyzed through social constructivism. -- Abstract.

Download or read book The Impact of Using Technology on Student Achievement written by Barbara Renee Buckner and published by . This book was released on 2011 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this study was to determine the effect of TI-Nspire graphing calculator use on student achievement and on teacher behavior variables of planning, teaching, and assessing. This study investigated the teaching of functions by teachers using the TI-Nspire graphing calculator versus teachers using a non-graphing scientific calculator. A review of the literature found that the emergence of calculators and computers has changed the way mathematics is both done and used (Ellington, 2006; Thorpe, 1989; & Kieran, 1992). Research also showed that students can effectively use a graphing calculator as an instructional tool to make and understand different types of representations (Choi-Koh, 2003; Colgan, 1993; and Drijvers & Doorman, 1996). Other studies have shown how graphing calculator use has engaged students in higher level thinking skills (Dessart, DeRidder, Charleen, & Ellington, 1999; Ellington, 2006; Graham & Thomas, 1998; Keller & Hirsch, 1998; Huntley, Rasmussen, Villarubi, Sangtong, & Fey, 2000; & Ronau et al., 2008). Since it is a relatively new tool, there is a limited amount of research on the classroom use of the TI-Nspire. The TI-Nspire is designed to link together multiple-representations within a single problem, so the concept of functions is an ideal context within which to study the impact of the TI-Nspire. This was a quasi-experimental study. The researcher gathered and analyzed pretest, post-test, and post post-test data on student performance on function concepts. The study included a 90 minute classroom observation of each class as well as document analysis of weekly questionnaires, daily lesson plans, and daily assessments. Vignettes employed classroom observations, document analysis, and thick description to triangulate the results of the qualitative analysis. During the summer prior to this study, all teachers attended 12 hours of training over the course of two days with a National Texas Instruments Instructor in which they were trained to use the TI-Nspire graphing calculator. Teachers were then given a TINspire, TI-Nspire emulator and access to online Atomic learning video training (Atomic Learning, 2011), to continue their exploration of the TI-Nspire. The week prior to the study, the teachers attended another day of professional development activity taught by a Texas Instruments Trained Cadre member. This "Function Focused Session" was six hours long and provided review on the TI-Nspire, specific training about teaching the function concept with the TI-Nspire, and time to create lesson plans and activities for this study. During the two weeks of treatment and two weeks of follow up, teachers met once a week for "Weekly Touchdown Sessions" a 90 minute meeting held after school to complete a weekly questionnaire, turn in lesson plans, assessments, and receive further professional development on the TI-Nspire. Providing a trained Texas Instruments Instructor on a weekly basis to answer questions, assist in providing direction for the following week, and meeting weekly with the teachers to complete questionnaires were vital strategies necessary to support teachers with this new technology tool and to assure their fidelity in treatment implementation and control maintenance. All professional development sessions were taught by Texas Instruments trained Instructors. The results from four teachers, each with one treatment class using the TI-Nspire and one control class using a non-graphing scientific calculator, were significant on the pre-test with the control group having a higher mean score than the treatment group and statistical significance on the post post-test with the treatment group having a higher mean score than the control group. While there was a statistically significant effect of Teacher Zeta on the post-post test in comparisons with the other teachers, most of the teacher effect was controlled for within the design of the study. To control for teacher effect, all teachers taught both a treatment and a control class. For each teacher, one of their two algebra classes was randomly assigned to treatment and the other was then assigned to control. There was not enough power in the data to properly analyze the effect of socioeconomic status and special education. This study supports the use of TI-Nspire graphing calculators in Algebra classrooms while studying the concept of functions. This study shows that, while using the TI-Nspire graphing calculator, the use of multiple representations and higher Depth of Knowledge activities can be used to improve student achievement, and impact classroom teaching, and lesson planning. While this study shows the impact of the TI-Nspire graphing calculator for the concept of functions, further research is needed to continue evaluating the impact of the TI-Nspire across additional mathematics topics.

Download or read book The Effect of Graphing Calculators and A Three Core Representation Curriculum on College Students Learning of Exponential and Logarithmic Functions written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this study was to investigate the potential benefits of a multi-representational curriculum on studentsâ€TM understanding of and connections among graphical, tabular, and symbolic representations of algebraic concepts. The participants of the study were 113 college students enrolled in developmental college algebra at a southern university. This study utilized a quasi-experimental design in which instructors taught the course from a scripted algebraic perspective while the researcher taught the course from a functional approach simultaneously introducing multiple representations. The effect of a three-core representation curriculum on student success was assessed with a pretests and posttests of nine problems, with three representations; algebraic, graphical, and numerical. Also used were pretests and posttests of ten calculator knowledge questions. The problems were chosen because of their prevalence in most developmental college algebra curricula. The three-core representation curriculum was more successful in increasing student achievement. Students from the three-core representation curriculum scored significantly higher and were significantly more adept in using representational methods other than algebraic to solve the problem. This research showed that a multi-representational curriculum could be effective in expanding studentsâ€TM web of connected knowledge of algebraic and functional concepts.

Download or read book The Effects of Graphing Calculators in the Secondary Algebra 1 Classroom written by John D. Brandt and published by . This book was released on 1997 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Using Graphing Calculators in the Mathematics Classroom written by Jane Ah Jin Lee and published by . This book was released on 2007 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study investigated teachers' conceptions of mathematics and their teaching practices with respect to the use of graphing calculators in their mathematics classrooms. Case studies on three teacher participants were developed using quantitative and qualitative data that consisted of self-assessments on beliefs in mathematics, observations, surveys on professional and personal technology use, and semi-structured interviews. All three teachers viewed mathematics as a dynamic field, emphasized understanding concepts as opposed to mechanical procedures, and preferred the construction and understanding of the concept over the memorization of procedures. All three teachers were willing to use graphing calculators in the mathematics classroom and all three had a similar goal of attempting to use the graphing calculators to eliminate mechanical processing time and enhance their students' ability to construct their own learning. The evidence from the study suggests that these teacher's practices, with respect to the use of graphing calculators in the mathematics classroom, are influenced by how proficient their students are at using this technology and how accessible the technology is. There were five major findings from the study: (1) if the mechanics of operating a graphing calculator involve at least as much mental effort as the mechanics involved in pencil and paper work, then using the graphing calculator will not free up students so that they can concentrate on constructing their own knowledge and understanding of mathematical concepts or solving more complex problems; (2) when mechanical operating issues are overcome, introducing graphing calculators into the mathematics classroom aids teachers in helping students construct their own mathematical knowledge by allowing all students to begin at a common starting point; (3) to obtain the full benefits of having students learn with the graphing calculators in the mathematics classroom, teachers must require students to use the graphing calculators when they are being evaluated; (4) teachers will determine for themselves where graphing calculators can be most appropriately used in the curriculum; and (5) teachers require strategies that will allow them to successfully deal with managing the day-to-day difficulties involved in using technological instruments such as the graphing calculator in the classroom. Implications for future study include how we can help those teachers inexperienced with the use of technology to incorporate the use of technology in their classrooms, how we need to address the need for consistent teaching practices throughout the intermediate, secondary and post-secondary levels, and how future case studies can be coded to reflect more precisely the language used by teachers to question students in the classroom. Suggestions for educators to consider when using graphing calculators in the mathematics classroom are given at the end of the study.

Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Download or read book Effects of an Algebraic equation Approach to Junior High School Mathematics written by Ronald Frederick Gray and published by . This book was released on 1961 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Effect of Using Graphing Calculators on Understanding Basic Algebra Concepts written by Dennis A. L'Huillier and published by . This book was released on 2004 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Teddy Bear Or Tool written by and published by . This book was released on 2007 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphing calculators are mainstay in the U.S. high school mathematics curriculum and because of that considerable research has been done on the effect of graphing calculators in the math classroom. Until recently most of the research on graphing calculator use in mathematics education has either been quantitative in nature, focusing on student achievement and attitude, or qualitative focusing on the teaching and learning of a particular mathematical topic (Choi-Koh, 2003; Ellington, 2003; Forester & Mueller, 2002; Smith & Shotsberger, 1997, for example). In addition, there is a growing body of research on how students are adapting graphing calculator technology to their mathematical learning (Artigue, 2002; Drijvers, 2000; Guinn and Trouche, 1999). However, none of this work addresses how students use the graphing calculator when they are working in independent situations or their perceptions of how the graphing calculator impacts their mathematical experience. My work aims to attend to this gap in the research. This dissertation reports on a mixed methods study with data consisting of survey data (n = 111) and in-depth interview data compiled from six case studies. The case study students participated in a task based interview and a stimulated response reflection interview. Particular attention was paid to both the affective and mathematical aspects of graphing calculator use. The data indicates that AP Calculus students value the ability to change the cognitive demand of tasks, the ability to engage in mathematical play, to check their written solutions, and to manage time effectively when doing mathematics. All of the students reported that using the graphing calculator in each of these ways provides them with both a mathematical and affective pay-off. Most surprising is that the ways in which the students value using their graphing calculators to solve problems does not coincide with their perceptions of what it means to 'do math' in a school setting. This result suggests that in the continuing discussion of how and if graphing calculators should be incorporated into school mathematics and assessment it is important to address this inconsistency.