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Understanding The Effects Of Middle School Algebra
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Book Synopsis Understanding the Effects of Middle School Algebra by : Andrew McEachin
Download or read book Understanding the Effects of Middle School Algebra written by Andrew McEachin and published by . This book was released on 2017 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: We identify California public middle schools that use a 7th grade achievement threshold to place students into 8th grade Algebra. These schools provide 439 opportunities to estimate regression discontinuity effects of 8th grade Algebra placement. We meta-analyze these effects and find small positive effects on students' high school math and English achievement, and substantial positive effects on high school math course-taking. Further, our analyses indicate substantial treatment effect heterogeneity across schools. Descriptive analyses suggest a positive relationship between treatment effects and average school student achievement and the location of the placement threshold, and a negative relationship with student poverty.
Book Synopsis The Effects of an Undergraduate Algebra Course on Prospective Middle School Teachers' Understanding of Functions, Especially Quadratic Functions by : Jonathan T. Duarte
Download or read book The Effects of an Undergraduate Algebra Course on Prospective Middle School Teachers' Understanding of Functions, Especially Quadratic Functions written by Jonathan T. Duarte and published by . This book was released on 2010 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although current reform movements have stressed the importance of developing prospective middle school mathematics teachers' subject matter knowledge and understandings, there is a dearth of research studies with regard to prospective middle school teachers' confidence and knowledge. This study was intended to fill that void.The study employed a multiple-perspectives design, with data being collected from different vantage points-document, pre- and post-teaching test, artifacts, interviews, classroom observations, and questionnaires - over a five-month period during the spring semester of 2008.
Book Synopsis The Effects of Automaticity on Math Achievement for Gifted Middle School Algebra Students by : Cathy Vilar
Download or read book The Effects of Automaticity on Math Achievement for Gifted Middle School Algebra Students written by Cathy Vilar and published by . This book was released on 1997 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Understanding Algebra by : Terri Husted
Download or read book Understanding Algebra written by Terri Husted and published by . This book was released on 2015-01-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Understanding Middle School Math by : Arthur A. Hyde
Download or read book Understanding Middle School Math written by Arthur A. Hyde and published by Heinemann Educational Books. This book was released on 2009 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imagine handling students state-by-state data on the number of gallons of soft drinks sold per person in one year. Imagine using it to lead a vibrant problem-solving session in which students energetically pose and answer mathematical questions: Why does it say sold instead of consumed? What is a soft drink? Is it the same as a soda? Who would collect this kind of data? Why would they collect it? How was gallons per person calculated? What was the total amount of soda sold in our state? How many 12-ounce cans is that? 20-ounce bottles? How many of each per person? Understanding Middle School Math gathers 50 cool problems like this that lead to deep thinking. Problems such as the Renovation Problem, in which students uncover ideas about how perimeter, area, length, and cost affect a construction project. Or Chocolate Algebra, where they discover linear relationships among the pocket money available to buy two differently priced chocolate candies. Arthur Hyde combines the latest research and decades of classroom experience to braid language, cognition, and math. His approach can help any student, including underprepared ones, with the rigors of math in middle school and beyond. He has created and adapted problems that strongly connect math to the real world, to students lives, and to prior knowledge. Problems that scaffold content and processes, and give students multiple entry points into learning. Every problem has been extensively field tested and refined by classroom teachers. And for each cool problem practicing middle school teachers describe how they used it to differentiate over a wide range of students and extend learning. For fantastic problems your students won't soon forget and teaching solutions that are exciting, substantial, and transformative, turn to Art Hyde. Read and use Understanding Middle School Math and pass your love of math on as you meet your classroom goals.
Book Synopsis IMPACT Mathematics: Algebra and More for the Middle, Grades Course 3, Student Edition by : McGraw Hill
Download or read book IMPACT Mathematics: Algebra and More for the Middle, Grades Course 3, Student Edition written by McGraw Hill and published by McGraw-Hill Education. This book was released on 2001-07-23 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete Algebra curriculum by the end of eighth grade! This exciting new program, developed in cooperation with Education Development Center, Inc., makes mathematics accessible to more of your middle-school students. They will spend less time reviewing topics from previous grades and more time progressing carefully and successfully toward the completion of Algebra 1 by the end of grade 8. Informal-to-formal concept development, designed specifically for middle school students, ensures that students build necessary skills and develop conceptual understanding.
Book Synopsis A Comparative Study of the Effects of the Algebra for All by Grade 8 Program with a Traditional Middle School Mathematics Program on Student Performance by : Lucio Calzada
Download or read book A Comparative Study of the Effects of the Algebra for All by Grade 8 Program with a Traditional Middle School Mathematics Program on Student Performance written by Lucio Calzada and published by . This book was released on 2002 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Effects on Middle School Students of "MATHCO" by : Carole Hall Hardeman
Download or read book The Effects on Middle School Students of "MATHCO" written by Carole Hall Hardeman and published by . This book was released on 1979 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Effects of Constructivist Teaching Approaches on Middle School Students' Algebraic Understanding by : Amanda Ann Ross
Download or read book The Effects of Constructivist Teaching Approaches on Middle School Students' Algebraic Understanding written by Amanda Ann Ross and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal in mathematics has shifted towards an emphasis on both procedural knowledge and conceptual understanding. The importance of gaining procedural knowledge and conceptual understanding is aligned with Principles and Standards for School Mathematics (National Council of Teachers of Mathematics, 2000), which encourages fluency, reasoning skills, and ability to justify decisions. Possession of only procedural skills will not prove useful to students in many situations other than on tests (Boaler, 2000). Teachers and researchers can benefit from this study, which examined the effects of representations, constructivist approaches, and engagement on middle school students' algebraic understanding. Data from an algebra pretest and posttest, as well as 16 algebra video lessons from an NSF-IERI funded project, were examined to determine occurrences of indicators of representations, constructivist approaches, and engagement, as well as student understanding. A mixed methods design was utilized by implementing multilevel structural equation modeling and constant comparison within the analysis. Calculation of descriptive statistics and creation of bar graphs provided more detail to add to the findings from the components of the statistical test and qualitative comparison method. The results of the final structural equation model revealed a model that fit the data, with a non-significant model, p> .01. The new collectively named latent factor of constructivist approaches with the six indicators of enactive representations, encouragement of student independent thinking, creation of problem-centered lessons, facilitation of shared meanings, justification of ideas, and receiving feedback from the teacher was shown to be a significant predictor of procedural knowledge (p
Book Synopsis Understanding Student Motivation and Affect in Middle School Mathematics Classrooms by : Rahila M. Simzar
Download or read book Understanding Student Motivation and Affect in Middle School Mathematics Classrooms written by Rahila M. Simzar and published by . This book was released on 2016 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math course placement is a source of continued discrepancy in the United States. Over the past few decades policy initiatives have catalyzed revisions on how and when students are placed into their first Algebra course. Concerns over equity in access and the national goal of fostering a competent STEM workforce have motivated efforts to place more students into Algebra earlier. Students who are not selected into Algebra by the eighth grade, for example, face a blocked pathway to advanced math learning among other outcomes. Thus, efforts have predominantly focused on increasing Algebra course placement in eighth grade, a developmentally sensitive time that carries weight in shaping adolescent students' beliefs, feelings, and goals for mathematics. While an extensive body of research has taken advantage of changing Algebra course placement policies to examine effects on a variety of student outcomes, research has yet to examine how course placement influences students' motivation for mathematics and general states of affect (achievement emotions) in mathematics classrooms.This dissertation seeks to initiate our understanding of how math course placement relates to students' beliefs and feelings about mathematics by examining student reports of beliefs, goals, and achievement emotions within their mathematics classrooms during middle school. The studies presented here forth aim to make a unique contribution to this literature by examining the relation between middle school math course placement and students' motivation for mathematics and affect in middle school mathematics classrooms---and further, relating changes in each to subsequent mathematics achievement. To my knowledge, these studies are the first to reveal information about Algebra course placement and students' motivation and affect as research to date has examined the effects, influences, and associations of Algebra course placement on student cognitive and achievement outcomes.The first study examines the changes in students' goals, expectancy, and value for mathematics for students placed in eighth grade Algebra relative to peers placed in lower-level courses. This study extends analyses to examine whether the changes in students' beliefs and goals in eighth grade relate to changes in achievement. The second part of this dissertation examines student-centered achievement emotions and affect as it surfaces within math classrooms. Achievement emotions and affect carries a significant contribution to the development of motivation and subsequent learning and experiences. For example, a student's experience will inform anticipated emotions for future engagements, which will have an influence on that students' motivation by affecting the choice of activities that he or she chooses to engage in. In Study 2 I examine changes in students' achievement emotions (specifically, anxiety) and general states of positive or negative affect for students placed in eighth grade Algebra relative to peers placed in lower-level courses. In this study, as well as the third study, positive affect is characterized as students reporting feeling excited, interested, enthusiastic, and/or happy in their mathematics class. Negative affect is characterized by students' reports of feeling irritated, bored, and/or exhausted in their mathematics class. The third study examines the association between students' self-rated achievement emotions and affect and mathematics achievement as measured by a state standardized exam.The three studies in this dissertation aim to make a first contribution in the area of math course placement and adolescent motivation for mathematics by relaying information about how math course placement and changes in beliefs, goals, and affect contributes to the changes in students' motivation for mathematics and achievement. The results will provide policy-relevant information that is specifically needed at this time of nascent course placement policy changes that are occurring in light of the recently adopted Common Core State Standards. As schools revise course placement and course taking trajectories, information about influences on the cultivation of students' beliefs and feelings about mathematics carry meaningful utility in light of goals to prepare all students to succeed in an increasingly competitive global economy.
Book Synopsis Effect of Computer-aided Instruction on Grades in Middle School Algebra by : Patricia A. Taepke
Download or read book Effect of Computer-aided Instruction on Grades in Middle School Algebra written by Patricia A. Taepke and published by . This book was released on 2021 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computers and targeted software are increasingly common in the middle school algebra classroom, but the efficacy of computer-aided instruction on classroom achievement in middle school algebra remains unclear. Participants were 1452 middle-school algebra students who were seldom, occasionally, or often exposed to the algebra modules of Destination Math, an interactive mathematics software designed to be appropriate for in-school use. Data were collected over three years (2002–04) and included the cooperation of the algebra teachers, who were subsequently interviewed. Data were analyzed with ANOVA, ANCOVA, and multiple regression. Statistically significant effects were localized using pairwise tests with Bonferroni correction for multiple comparisons. Findings were considered statistically significant at p
Book Synopsis Teacher Knowledge and Practice in Middle Grades Mathematics by :
Download or read book Teacher Knowledge and Practice in Middle Grades Mathematics written by and published by BRILL. This book was released on 2008-01-01 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a coherent collection of research studies on teacher knowledge and its relation to instruction and learning in middle-grades mathematics. The authors provide comprehensive literature reviews on specific components of mathematics knowledge for teaching that have been found to be important for effective instruction.
Book Synopsis The Algebra Solution to Mathematics Reform by : Frances R. Spielhagen
Download or read book The Algebra Solution to Mathematics Reform written by Frances R. Spielhagen and published by Teachers College Press. This book was released on 2015-04-24 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can we increase mathematics achievement among all students? This book provides a straightforward explanation of how changing mathematics tracking policies to provide algebra instruction to all students by at least eighth grade can bring about changes in both student achievement and teacher performance. Spielhagen chronicles the success of a large school district that changed the way mathematics was delivered and increased success rates across all populations. Featuring interviews with students and teachers, the author shows how all stakeholders were brought into the process of changing policy from the ground up. Offering a model for success that can be replicated by other districts, this resource: Provides a comprehensive account of how mathematics policy that evolved in the United States over the last century has resulted in low math literacy among our population.Addresses the recommendations and counterpoints to the report of the National Mathematics Panel (2009).Includes real-life examples of how stakeholders responded to the policy change that revolutionized mathematics instruction in their district. Frances R. Spielhagen is associate professor of education and director of the Center for Adolescent Research and Development at Mount Saint Mary College, Newburgh, New York. “Offers an ‘elegant solution’ to a compelling problem in American society that has global implications: Who should study algebra and when? The best-practices approach should be required reading for pre-service and in-service educators and administrators alike. Readers will recognize that preparing students to learn algebra by 8th grade is as much a right as learning to read. It is a right upon which our future depends.” —Susan G. Assouline, Professor of School Psychology, Associate Director, The Connie Belin & Jacqueline N. Blank International Center for Gifted Education and Talent Development, The University of Iowa “Frances Spielhagen’s book offers a thoughtful and detailed response to one of the most important questions of our time—should all students take algebra in 8th grade? With impressive and thorough research, the author considers issues of teaching and learning, as well as curriculum and policy. For all those who care about the mathematical future of our nation’s children, this book is a must read.” —Jo Boaler, Professor of Mathematics Education, Stanford University, The School of Education “In The Algebra Solution to Mathematics Reform, Frances R. Spielhagen shows vividly and precisely how a public school system teaches children to master mathematics skills early—culminating in 8th grade algebra, a critical subject for high school graduation and college admission. Spielhagen’s book precisely demonstrates how to improve real sequential learning for students from the early grades to high school graduation, and successfully into college and life. Thus, this vital book has implications for instruction in all academic subjects, providing a living model for continuity and improvement of student learning.” —Bruce S. Cooper, Professor, Graduate School of Education, Fordham University
Book Synopsis The Effects of Writing in a Middle School Math Class by : Brenda K. Thompson
Download or read book The Effects of Writing in a Middle School Math Class written by Brenda K. Thompson and published by . This book was released on 2011 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Open Middle Math by : Robert Kaplinsky
Download or read book Open Middle Math written by Robert Kaplinsky and published by Taylor & Francis. This book was released on 2023-10-10 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.
Book Synopsis How Students Think When Doing Algebra by : Steve Rhine
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.
Book Synopsis IMPACT Mathematics: Algebra and More for the Middle Grades, Course 1, Student Edition by : McGraw-Hill
Download or read book IMPACT Mathematics: Algebra and More for the Middle Grades, Course 1, Student Edition written by McGraw-Hill and published by Glencoe/McGraw-Hill. This book was released on 2001-05-24 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Complete coverage of algebra 1 by the end of grade 8"--Catalog cover
