Accessible Mathematics


Book Description

Raising students' math achievement doesn't mean ripping up your planning book and starting over. In Accessible Mathematics Steven Leinwand (author of Sensible Mathematics) shows how small shifts in the good teaching you already do can make a big difference in student learning. Steve focuses on the crucial issue of classroom instruction. He scours the research and visits highly effective classrooms for practical examples of small adjustments to your teaching that lead to deeper student learning in math. Some of his 10 classroom-tested teaching shifts may surprise you and others will validate your thinking. But all of them will improve your students' performance. Thoroughly practical and ever-aware of the limits of teachers' time, Steve gives you everything you need to put his commonsense ideas to use immediately. His extensive planning advice will help you streamline your teaching to get more from everything you do. Classroom examples from every grade level model teaching language and instructional moves. And his suggestions for professional learning help increase your effectiveness through the power of collaboration. Steven Leinwand shares your priority: raising the mathematical understanding and achievement of every one of your students. Read Accessible Mathematics, try his 10 suggestions in your practice, and discover how minor shifts in your teaching can put student learning into high gear.




The Impact of Reform Instruction on Student Mathematics Achievement


Book Description

Summarizing data derived from a four-year combined longitudinal/ cross-sectional comparative study of the implementation of one standards-based middle school curriculum program, Mathematics in Context, this book demonstrates the challenges of conducting comparative longitudinal research in the reality of school life. The study was designed to answer three questions: What is the impact on student performance of the Mathematics in Context instructional approach, which differs from most conventional mathematics texts in both content and expected pedagogy? How is this impact different from that of traditional instruction on student performance? What variables associated with classroom instruction account for variation in student performance? The researchers examined a range of variables that affected data collection. These variations highlight the need to study the effects of the culture in which student learning is situated when analyzing the impact of standards-based curricula on student achievement. This book is directed to educational researchers interested in curriculum implementation, mathematics educators interested in the effects of using reform curriculum materials in classrooms, evaluators and research methodologists interested in structural modeling and scaling of instructional variables, and educational policy makers concerned about reform efforts.




Instructional Approach and Mathematics Achievement


Book Description

The purpose of this study was to examine the relationship three different instructional models had with students' mathematics achievement. The research factors included group membership (flipped, online, and traditional), student demographics (gender, age, and race/ethnicity), and students' affective domain (attitudes toward mathematics, mathematics self-efficacy with respect to algebra, and locus of control). The study used a quasi-experimental, modified nonrandomized pretest-posttest control group, involving intact classes of 117 students during the fall 2015 semester. The data collection instruments consisted of several different assessments: (a) a four-section questionnaire, (b) a test of prerequisite skills (TPRS), (c) three unit examinations, and (d) an end-of-semester comprehensive final examination. A hierarchical multiple regression strategy was used to analyze the data. Results showed: (a) students in the flipped group scored on average 2.57 and 1.67 units respectively, higher on the final examination, which was the measure of student achievement, than students in the online group and traditional group; (b) student age had a significant and negative effect on student achievement; (c) mathematics self-efficacy had a significant and direct relationship on student achievement; and (d) there were no significant interactions between group membership and the other research factors relative to student achievement. Stepwise regression analysis confirmed the results of the hierarchical multiple regression analysis. The results were consistent with cognitive and social constructivism, and self-efficacy theory. The findings inform the mathematics education community about the effect/influence the flipped classroom model has on student achievement in college algebra. Findings also confirm the pronounced role self-efficacy plays with respect to student achievement. Findings also confirm that gender, race/ethnicity, and students' attitudes toward mathematics make little contribution to explaining the variance in final exam scores.




PISA PISA 2012 Results: What Students Know and Can Do (Volume I, Revised edition, February 2014) Student Performance in Mathematics, Reading and Science


Book Description

This first volume of PISA 2012 results summarises the performance of students in PISA 2012. It describes how performance is defined, measured and reported, and then provides results from the assessment, showing what students are able to do.




A Guide to Mathematics Coaching


Book Description

Discover how effective coaching relationships add up to improved mathematics teaching and learning! Based on principles established by NCTM and NCSM, this resource outlines a coaching process for engaging math teachers and fostering productive collaborations that lead to better teaching practice and increased student achievement. Focusing on the role of the math coach in transforming mathematics classrooms and ensuring equity, the chapters help coaches: Collaborate with teachers to align and implement curriculum Build trust and rapport with hesitant or resistant teachers Develop collegial partnerships for planning, analyzing, and reflecting on instruction Support and sustain individual and institutional change




Teacher Quality, Instructional Quality and Student Outcomes


Book Description

This volume offers insights from modeling relations between teacher quality, instructional quality and student outcomes in mathematics across countries. The relations explored take the educational context, such as school climate, into account. The International Association for the Evaluation of Educational Achievement’s Trends in Mathematics and Science Study (TIMSS) is the only international large-scale study possessing a design framework that enables investigation of relations between teachers, their teaching, and student outcomes in mathematics. TIMSS provides both student achievement data and contextual background data from schools, teachers, students and parents, for over 60 countries. This book makes a major contribution to the field of educational effectiveness, especially teaching effectiveness, where cross-cultural comparisons are scarce. For readers interested in teacher quality, instructional quality, and student achievement and motivation in mathematics, the comparisons across cultures, grades, and time are insightful and thought-provoking. For readers interested in methodology, the advanced analytical methods, combined with application of methods new to educational research, illustrate interesting novel directions in methodology and the secondary analysis of international large-scale assessment (ILSA).




Visible Learning for Mathematics, Grades K-12


Book Description

Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.




Styles and Strategies for Teaching High School Mathematics


Book Description

One key to raising achievement in mathematics is to recognize that all students have preferred styles of thinking and learning. By rotating teaching strategies, you can reach learners through their preferred styles, as well as challenge students to think in other styles. Styles and Strategies for Teaching High School Mathematics provides a set of powerful, research-based strategies to help high school teachers differentiate mathematics instruction and assessment according to their students' learning styles. Presenting four distinct mathematical learning styles--Mastery, Understanding, Self-Expressive, and Interpersonal--this book offers classroom-tested instructional strategies that can be mixed and matched to reach all learners. Compatible with any curriculum or textbook, the book: - Explains how the strategies address NCTM process standards and students' learning styles - Includes step-by-step directions, examples, and planning considerations for each strategy - Provides reproducible forms for implementing the strategies - Offers variations and ways to adapt each strategy to meet a variety of instructional demands With assessment components woven throughout, this invaluable guide helps high school mathematics teachers effectively reach and teach today's adolescents.




A PRACTICAL APPROACH TO USING LEARNING STYLES IN MATH INSTRUCTION


Book Description

Although much attention has been given to the use of learning styles in the general curriculum and in teaching students to read., the use of learning styles-based instruction in the mathematics classroom has received limited attention. Therefore, the purpose of this book is to address the improvement of mathematics instruction through the use of learning styles-based instruction. Its goals are to give the reader an understanding of learning styles-based instruction in mathematics, of effective use of manipulatives in teaching various concepts at all grade levels, of ways to develop spatial reasoning skills in students, of different activities which accommodate a variety of learning styles, and of authentic assessment in mathematics. The book presents the use of learning styles-based instruction as a powerful strategy which teachers can and should use with the result that teaching will be more effective, less remediation will be necessary, and the overall mathematics curriculum will be enhanced.




A Guide to Mathematics Leadership


Book Description

"If you have anything at all to do with mathematics leadership in your school or district, this resource is the launch pad for your leadership efforts. It provides the necessary background, gets you started, and will force you to consider ′leadership traps′ you may encounter along the way. This book won′t be placed on a shelf—it will be used daily!" —Skip Fennell, Professor, McDaniel College Past President, National Council of Teachers of Mathematics Empower mathematics educators and learners to meet and exceed high expectations! School leaders who are responsible for improving mathematics achievement face tremendous challenges. Written by three noted mathematics educators, this book helps leaders implement a high-quality mathematics program, regardless of the status of their current programs or the availability of resources. A Guide to Mathematics Leadership presents a process-based approach to improving mathematics instruction based on five principles identified by the National Council of Teachers of Mathematics (NCTM)—equity, curriculum, teaching, learning, and assessment—and four leadership principles from the National Council of Supervisors of Mathematics (NCSM)—equity leadership, teaching and learning leadership, curriculum leadership, and assessment leadership. These principles are applied during the program improvement cycle, which includes: Articulating the curriculum Implementing the curriculum Incorporating effective instructional strategies Providing timely and targeted feedback Establishing professional learning communities Fostering professional development Filled with practical advice, tips, tools, and resources for each stage of the process, this book guides readers in the next steps to excellence in mathematics instruction and learning.