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How We Think

Author: Alan H. Schoenfeld
Publisher: Routledge
ISBN: 1136909788
Size: 66.50 MB
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Teachers try to help their students learn. But why do they make the particular teaching choices they do? What resources do they draw upon? What accounts for the success or failure of their efforts? In How We Think, esteemed scholar and mathematician, Alan H. Schoenfeld, proposes a groundbreaking theory and model for how we think and act in the classroom and beyond. Based on thirty years of research on problem solving and teaching, Schoenfeld provides compelling evidence for a concrete approach that describes how teachers, and individuals more generally, navigate their way through in-the-moment decision-making in well-practiced domains. Applying his theoretical model to detailed representations and analyses of teachers at work as well as of professionals outside education, Schoenfeld argues that understanding and recognizing the goal-oriented patterns of our day to day decisions can help identify what makes effective or ineffective behavior in the classroom and beyond.

Proficiency And Beliefs In Learning And Teaching Mathematics

Author: Yeping Li
Publisher: Springer Science & Business Media
ISBN: 9462092990
Size: 48.91 MB
Format: PDF
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Efforts to improve mathematics education have led educators and researchers to not only study the nature of proficiency, beliefs, and practices in mathematics learn¬ing and teaching, but also identify and assess possible influences on students’ and teachers’ proficiencies, beliefs, and practices in learning and teaching mathematics. The complexity of these topics has fascinated researchers from various back¬grounds, including psychologists, cognitive or learning scientists, mathematicians, and mathematics educators. Among those researchers, two scholars with a similar background – Alan Schoenfeld in the United States and Günter Törner in Germany, are internationally recognized for their contributions to these topics. To celebrate their 65th birthdays in 2012, this book brought together many scholars to reflect on how their own work has built upon and continued Alan and Günter’s work in mathematics education. The book contains 17 chapters by 33 scholars from six different education systems. This collection describes recent research and provides new insights into these topics of interest to mathematics educators, researchers, and graduate students who wish to learn about the trajectory and direction of research on these issues.

The Mathematics That Every Secondary School Math Teacher Needs To Know

Author: Alan Sultan
Publisher: Routledge
ISBN: 1315391899
Size: 48.50 MB
Format: PDF, Docs
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Designed to help pre-service and in-service teachers gain the knowledge they need to facilitate students' understanding, competency, and interest in mathematics, the revised and updated Second Edition of this popular text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Highlighting multiple types of mathematical understanding to deepen insight into the secondary school mathematics curriculum, it addresses typical areas of difficulty and common student misconceptions so teachers can involve their students in learning mathematics in a way that is interesting, interconnected, understandable, and often surprising and entertaining. Six content strands are discussed—Numbers and Operations; Algebra; Geometry; Measurement; Data Analysis and Probability; and Proof, Functions, and Mathematical Modeling. The informal, clear style supports an interactive learner-centered approach through engaging pedagogical features: Launch Questions at the beginning of each section capture interest and involve readers in learning the mathematical concepts. Practice Problems provide opportunities to apply what has been learned and complete proofs. Questions from the Classroom bring the content to life by addressing the deep "why" conceptual questions that middle or secondary school students are curious about, and questions that require analysis and correction of typical student errors and misconceptions; focus on counter intuitive results; and contain activities and/or tasks suitable for use with students. Changes in the Second Edition New sections on Robotics, Calculators, Matrix Operations, Cryptography, and the Coefficient of Determination New problems, simpler proofs, and more illustrative examples Answers and hints for selected problems provided

Making Mathematics More Practical

Author: Yew Hoong Leong
Publisher: World Scientific Publishing Company
ISBN: 9814569100
Size: 64.20 MB
Format: PDF, Kindle
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The book Making Mathematics Practical (published by World Scientific in 2011) proposes a new paradigm in teaching problem solving in secondary school mathematics classrooms. It is a report of the research project “Mathematical Problem Solving for Everyone” (MProSE), which attempts to provide all the necessary resources for teachers to teach problem solving in schools. This book reports as a follow-up on the actual enactment of the proposed MProSE problem solving curriculum in five Singapore schools. The experimental schools, which span across the entire spectrum of all Singapore secondary schools, report how they tweak the MProSE proposal to fit into their school curriculum, together with issues, challenges and success stories in implementing such an innovative curriculum in Singapore schools. It is an ideal handbook for educators who believe in problem solving as the core of mathematics curriculum and who wish to implement such an approach in their schools.

Creating Self Regulated Learners

Author: Linda Nilson
Publisher: Stylus Publishing, LLC
ISBN: 1579228690
Size: 13.77 MB
Format: PDF, Mobi
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Most of our students neither know how learning works nor what they have to do to ensure it, to the detriment both of their studies and their development as lifelong learners. The point of departure for this book is the literature on self-regulated learning that tells us that deep, lasting, independent learning requires learners to bring into play a range of cognitive skills, affective attitudes, and even physical activities – about which most students are wholly unaware; and that self-regulation, which has little to do with measured intelligence, can be developed by just about anyone and is a fundamental prerequisite of academic success. Linda Nilson provides the theoretical background to student self-regulation,the evidence that it enhances achievement, and the strategies to help students develop it. She presents an array of tested activities and assignments through which students can progressively reflect on, monitor and improve their learning skills; describes how they can be integrated with different course components and on various schedules; and elucidates how to intentionally and seamlessly incorporate them into course design to effectively meet disciplinary and student development objectives. Recognizing that most faculty are unfamiliar with these strategies, she also recommends how to prepare for introducing them into the classroom and adding more as instructors become more confident using them. The book concludes with descriptions of courses from different fields to offer models and ideas for implementation. At a time of so much concern about what our students are learning in college and how well prepared they are for the challenges of tomorrow’s economy and society, self-regulated learning provides a reassuring solution, particularly as studies indicate that struggling students benefit the most from practicing it.