Download or read book Characterizing Student Thinking about Solutions and the Solvation Process written by Oscar Herbert Judd and published by . This book was released on 2019 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemistry is all about how atoms and molecules interact with themselves and each other resulting in properties and phenomena that can be detected and observed at the macroscopic scale. It follows quite closely then, that an important goal of chemistry education is to help students understand how macroscopic phenomena are governed by interactions and energy changes that accompany changes in interactions at the molecular level. While the literature is filled with examples of ways student incorrectly understand energy across a wide range of topics in chemistry, there is a growing trend to characterize students understanding along a continuum rather than catalog incorrect ideas. This research seeks to characterize how students in a reformed general chemistry curriculum, Chemistry, Life, the Universe and Everything (CLUE), understand solutions and the solvation process in the context of the dissolution of an ionic salt to form an aqueous solution. Preliminary research uncovered representative ways students successfully and unsuccessfully described an observable temperature change that accompanied the solvation process in a series of student interviews. These findings, as well as reasoning strategies that were observed to help students make connections between atomic-molecular level interactions and energy and macroscopic level temperature changes, were used to design a formative assessment activity targeting this phenomenon. Specific assessment tasks in which students constructed representations and explanations of the temperature change that accompanied solvation were then operationalized as research tools and administered as formative and summative assessments. Subsequent analysis of student responses resulted in development of robust coding schemes that were used to characterize how students used mechanistic components in their representations and explanations. In spite of extensive literature describing student difficulties representing solutions, the vast majority of students in the CLUE curriculum were observed to be able to represent the fully dissolved solution as being composed of separated ions each individually interacting with solvent molecules. Further revision of the explanation prompt, leveraging principles influenced by the scaffolding and evidence centered design literature, resulted in a medium to large increase in sophistication of students' use of interactions from representation to explanation tasks; these results were replicated in multiple student populations. Finally, implications of this work relevant to enacting curricular support for students to use atomic-molecular scale interactions in a mechanistic way are presented, including the importance of designing assessments capable of eliciting evidence of student understanding.

Download or read book Modeling Students Mathematical Modeling Competencies written by Richard Lesh and published by Springer Science & Business Media. This book was released on 2013-03-17 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling Students’ Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.

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 Mathematizing Student Thinking written by David Costello and published by Pembroke Publishers Limited. This book was released on 2022-04-20 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can you broaden student thinking and help them develop their independence and confidence as problem solvers? Real-life problems are a remarkable tool to stretch student thinking and help them develop a deeper understanding of mathematics and its role in everyday life. Rather than using textbook exercises, the book argues that solving real-world problems promotes flexibility and encourages students to adjust and grow their thinking. It inspires them to consider alternatives and apply math in authentic contexts. You will find practical ways to engage students in critical thinking, develop their independence, and make connections with the world.

Download or read book The Routledge International Handbook of Innovation Education written by Larisa V. Shavinina and published by Routledge. This book was released on 2013-03-25 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Routledge International Handbook of Innovation Education is the international reference work on innovation education and potentially opens an entirely new direction in education. The overall goal of the handbook is to address the question of how to develop innovators in general and how to develop the innovative potential of today‘s young people

Download or read book Illuminating and Advancing the Path for Mathematical Writing Research written by Colonnese, Madelyn W. and published by IGI Global. This book was released on 2023-11-20 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical writing is essential for students’ math learning, but it’s often underutilized due to unclear guidelines. Mathematical writing is a mode of communication that provides teachers access to their students’ thinking and, importantly, offers students an opportunity to deepen their mathematical understanding, engage in mathematical reasoning, and learn a fundamental way to communicate mathematically. Notably, one needs to be able to judiciously combine mathematical symbols, representations, and text. However, more research is needed to exemplify the qualities of mathematical writing, develop implementation methods, and support teachers. Illuminating and Advancing the Path for Mathematical Writing Research, is a necessary comprehensive resource designed to enhance mathematical writing and promote equitable learning. This research book provides a comprehensive understanding of the current state of mathematical writing and illuminates various perspectives on moving the teaching and learning of k-12 mathematical writing forward. Mathematical writing is an important yet underutilized component of mathematical discourse, and this book offers further insight into understanding what it means to write mathematically for mathematics educators and researchers. It informs with research-based implementation strategies and creates purposeful professional learning opportunities. Ultimately, k-12 students will benefit from a more informed field because they will have access to a vital mode of mathematical reasoning and communication.

Download or read book Building the Intentional University written by Stephen M. Kosslyn and published by MIT Press. This book was released on 2018-08-28 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to rebuild higher education from the ground up for the twenty-first century. Higher education is in crisis. It is too expensive, ineffective, and impractical for many of the world's students. But how would you reinvent it for the twenty-first century—how would you build it from the ground up? Many have speculated about changing higher education, but Minerva has actually created a new kind of university program. Its founders raised the funding, assembled the team, devised the curriculum and pedagogy, recruited the students, hired the faculty, and implemented a bold vision of a new and improved higher education. This book explains that vision and how it is being realized. The Minerva curriculum focuses on “practical knowledge” (knowledge students can use to adapt to a changing world); its pedagogy is based on scientific research on learning; it uses a novel technology platform to deliver small seminars in real time; and it offers a hybrid residential model where students live together, rotating through seven cities around the world. Minerva equips students with the cognitive tools they need to succeed in the world after graduation, building the core competencies of critical thinking, creative thinking, effective communication, and effective interaction. The book offers readers both the story of this grand and sweeping idea and a blueprint for transforming higher education.

Download or read book Process Data in Educational and Psychological Measurement 2nd Edition written by Hong Jiao and published by Frontiers Media SA. This book was released on 2021-12-13 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher’s note: In this 2nd edition: The following article has been added: Jiao H, He Q and Veldkamp BP (2021) Editorial: Process Data in Educational and Psychological Measurement. Front. Psychol. 12:793399. doi: 10.3389/fpsyg.2021.793399 The following article has been added: Reis Costa D, Bolsinova M, Tijmstra J and Andersson B (2021) Improving the Precision of Ability Estimates Using Time-On-Task Variables: Insights From the PISA 2012 Computer-Based Assessment of Mathematics. Front. Psychol. 12:579128. doi: 10.3389/fpsyg.2021.579128 The following article has been removed: Minghui L, Lei H, Xiaomeng C and Potměšilc M (2018) Teacher Efficacy, Work Engagement, and Social Support Among Chinese Special Education School Teachers. Front. Psychol. 9:648. doi: 10.3389/fpsyg.2018.00648

Download or read book Engineering Education and Management written by Liangchi Zhang and published by Springer Science & Business Media. This book was released on 2011-11-23 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings of the selected papers presented at 2011 International Conference on Engineering Education and Management (ICEEM2011) held in Guangzhou, China, during November 18-20, 2011. ICEEM2011 is one of the most important conferences in the field of Engineering Education and Management and is co-organized by Guangzhou University, The University of New South Wales, Zhejiang University and Xi’an Jiaotong University. The conference aims to provide a high-level international forum for scientists, engineers, and students to present their new advances and research results in the field of Engineering Education and Management. This volume comprises 121 papers selected from over 400 papers originally submitted by universities and industrial concerns all over the world. The papers specifically cover the topics of Management Science and Engineering, Engineering Education and Training, Project/Engineering Management, and Other related topics. All of the papers were peer-reviewed by selected experts. The papers have been selected for this volume because of their quality and their relevancy to the topic. This volume will provide readers with a broad overview of the latest advances in the field of Engineering Education and Management. It will also constitute a valuable reference work for researchers in the fields of Engineering Education and Management.

Download or read book Technical Report written by and published by . This book was released on 2006 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Hark Hark Hear the Story of a Science Educator written by Jazlin Ebenezer and published by CRC Press. This book was released on 2020-06-01 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hark, Hark! Hear the Story of a Science Educator highlights some compelling ideas on science teaching and learning through the author’s journey and includes evolution and revolution in the growth of scientific knowledge. The book discusses views of McComas et al. and Lederman et al. on the nature of science, as well as the learning theories of Piaget (1926), Vygotsky (1978), and Marton (1981). The three theories of learning frame methods in teaching science. The author is well known in the science education research community for her groundbreaking work in student conceptions and conceptual change, particularly as related to phenomenography. Key Features: Helps science educators explore new avenues related to various innovative curricula, teaching, and learning Presents abstract learning theories, such as social constructivism in personal stories and experiences Bridges the divide between the science education community and the general public on significant ideas of science teaching and learning Uncovers relational conceptual change inquiry learning Discusses current socioscientific community-based issues—other-centeredness—through scientific investigation and engineering design challenges

Download or read book Content Based Curriculum for High Ability Learners written by No Contributor and published by Sourcebooks, Inc.. This book was released on 2010-07 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This newly updated edition provides a solid introduction to curriculum development in gifted and talented education. Written by experts in the field of gifted education, this text uses cutting-edge curriculum design techniques and aligns the core content with national and state standards. In addition to a revision of the original chapters, the second edition contains new chapters on topics such as second language learning, leadership, arts curriculum, and technology. The text identifies the basic principles of curriculum development : accelerated learning within the core content areas, use of higher order process skills, development of creative student products, and concept development and learning. These techniques are incorporated into a chapter on each core content area : language arts, mathematics, science, and social studies, as well as world languages and the arts. The final chapters focus on the roles of teachers, program coordinators, and administrators during curriculum design, including selecting resources and materials, aligning curriculum, and assessing student learning. --from back cover.

Download or read book Theory and Practice of Lesson Study in Mathematics written by Rongjin Huang and published by Springer. This book was released on 2019-05-28 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together and builds on the current research efforts on adaptation, conceptualization, and theorization of Lesson Study (LS). It synthesizes and illustrates major perspectives for theorizing LS and enriches the conceptualization of LS by interpreting the activity as it is used in Japan and China from historical and cultural perspectives. Presenting the practices and theories of LS with practicing teachers and prospective teachers in more than 10 countries, it enables the reader to take a comparative perspective. Finally, the book presents and discusses studies on key aspects of LS such as lesson planning, post-lesson discussion, guiding theories, connection between research and practice, and upscaling. Lesson Study, which has originated in Asia as a powerful effective professional development model, has spread globally. Although the positive effects of lesson study on teacher learning, student learning, and curriculum reforms have been widely documented, conceptualization of and research on LS have just begun to emerge. This book, including 38 chapters contributed by 90 scholars from 21 countries, presents a truly international collaboration on research on and adaptation of LS, and significantly advances the development of knowledge about this process. Chapter 15: "How Variance and Invariance Can Inform Teachers’ Enactment of Mathematics Lessons" of this book is available open access under a CC BY 4.0 license at link.springer.com Theory and Practice of Lesson Study in Mathematics: An International Perspective shows that the power of Lesson Study to transform the role of teachers in classroom research cannot be explained by a simple replication model. Here we see Lesson Study being successful internationally when its key principles and practices are taken seriously and are adapted to meet local issues and challenges. (Max Stephens, Senior research fellow at The University of Melbourne) It works. Instruction improves, learning improves. Wide scale? Enduring? Deep impact? Lesson study has it. When something works as well as lesson study does, while alternative systems for improving instruction fail, or only succeed on small scale or evaporate as quickly as they show promise, it is time to understand how and why lesson study works. This volume brings the research on lesson study together from around the world. Here is what we already know and here is the way forward for research and practice informed by research. It is time to wake up and pay attention to what has worked so well, on wide scale for so long. (Phil Dara, A leading author of the Common Core State Standards of Mathematics in the U.S.)

Download or read book Creativity and Reason in Cognitive Development written by James C. Kaufman and published by Cambridge University Press. This book was released on 2006-05-29 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: To what extent do creativity and imagination decline in childhood? What factors might influence a decline? Theories of cognitive development show only uni-directional progress (although theorists may disagree whether such progress occurs steadily in small continuous improvements or comes in stages separated by plateaus during which developmental gains are consolidated). Declines in levels of skill are quite uncommon, yet many have observed just such an unusual pattern with regard to the development of creativity and of the imagination. Is there something about the development of one kind of thinking that undermines imaginative and creative thinking? Is it perhaps the process of schooling itself, with its focus on the acquisition of knowledge and the production of correct (rather than imaginative) answers, which promotes this decline? This book explores these questions from a variety of perspectives. Essays from psychologists and educators from diverse backgrounds discuss the relationships among creativity, reason, and knowledge.

Download or read book The Emergence of Mathematical Meaning written by Paul Cobb and published by Routledge. This book was released on 2012-12-06 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of a five-year collaboration between groups of American and German mathematics educators. The central issue addressed accounting for the messiness and complexity of mathematics learning and teaching as it occurs in classroom situations. The individual chapters are based on the view that psychological and sociological perspectives each tell half of a good story. To unify these concepts requires a combined approach that takes individual students' mathematical activity seriously while simultaneously seeing their activity as necessarily socially situated. Throughout their collaboration, the chapter authors shared a single set of video recordings and transcripts made in an American elementary classroom where instruction was generally compatible with recent reform recommendations. As a consequence, the book is much more than a compendium of loosely related papers. The combined approach taken by the authors draws on interactionism and ethnomethodology. Thus, it constitutes an alternative to Vygotskian and Soviet activity theory approaches. The specific topics discussed in individual chapters include small group collaboration and learning, the teacher's practice and growth, and language, discourse, and argumentation in the mathematics classroom. This collaborative effort is valuable to educators and psychologists interested in situated cognition and the relation between sociocultural processes and individual psychological processes.

Download or read book Mathematical Problem Solving written by Peter Liljedahl and published by Springer. This book was released on 2019-02-12 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education, assessment of and through problem solving, and the problem solving environment. Mathematical problem solving has long been recognized as an important aspect of mathematics, teaching mathematics, and learning mathematics. It has influenced mathematics curricula around the world, with calls for the teaching of problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as the field has existed. Research in this area has generally aimed at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving skills. The accumulated knowledge and field developments have included conceptual frameworks for characterizing learners’ success in problem solving activities, cognitive, metacognitive, social and affective analysis, curriculum proposals, and ways to promote problem solving approaches.

Download or read book Advanced Mathematical Thinking written by Annie Selden and published by Routledge. This book was released on 2013-10-15 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is Volume 7, Issue 1 2005, a Special Issue of 'Mathematical Thinking and Learning' which looks at Advanced Mathematical Thinking. Opening with a brief history of attempts to characterize advanced mathematical thinking, beginning with the deliberations of the Advanced Mathematical Thinking Working Group of the International Group for the Psychology of Mathematics Education. The articles follow the recurring themes: (a) the distinction between identifying kinds of thinking that might be regarded as advanced at any grade level and taking as advanced any thinking about mathematical topics considered advanced; (b) the utility of characterizing such thinking for integrating the entire curriculum; (c) general tests, or criteria, for identifying advanced mathematical thinking; and (d) an emphasis on advancing mathematical practices.