making sense of mathematics for teaching high school understanding how to use functions

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Making Sense Of Mathematics For Teaching High School

Author : Edward C. Nolan
ISBN : 9781942496496
Genre : Education
File Size : 76. 31 MB
Format : PDF
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Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index

Scientific Inquiry In Mathematics Theory And Practice

Author : Andrzej Sokolowski
ISBN : 9783319895246
Genre : Education
File Size : 22. 32 MB
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This valuable resource provides an overview of recent research and strategies in developing and applying modelling to promote practice-based research in STEM education. In doing so, it bridges barriers across academic disciplines by suggesting activities that promote integration of qualitative science concepts with the tools of mathematics and engineering. The volume’s three parts offer a comprehensive review, by 1) Presenting a conceptual background of how scientific inquiry can be induced in mathematics classes considering recommendations of prior research, 2) Collecting case studies that were designed using scientific inquiry process designed for math classes, and 3) Exploring future possibilities and directions for the research included within. Among the topics discussed: · STEM education: A platform for multidisciplinary learning. · Teaching and learning representations in STEM. · Formulating conceptual framework for multidisciplinary STEM modeling. · Exploring function continuity in context. · Exploring function transformations using a dynamic system. Scientific Inquiry in Mathematics - Theory and Practice delivers hands-on and concrete strategies for effective STEM teaching in practice to educators within the fields of mathematics, science, and technology. It will be of interest to practicing and future mathematics teachers at all levels, as well as teacher educators, mathematics education researchers, and undergraduate and graduate mathematics students interested in research based methods for integrating inquiry-based learning into STEM classrooms.

Making Sense Of Mathematics Teacher Education

Author : Fou-Lai Lin
ISBN : 9789401008280
Genre : Education
File Size : 45. 74 MB
Format : PDF, ePub
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This is a research-based book that deals with a broad range of issues about mathematics teacher education. It examines teacher education programs from different societies and cultures as it develops an international perspective on mathematics teacher education. Practical situations that are associated with related theories are studied critically. It is intended for teacher educators, mathematics educators, graduate students in mathematics education, and mathematics teachers.

Teaching And Learning High School Mathematics

Author : Charlene E. Beckmann
ISBN : 9780470454503
Genre : Education
File Size : 56. 1 MB
Format : PDF, ePub, Mobi
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A perfect resource for high school mathematics teachers, this book helps them develop or refine their own teaching philosophy. They’ll learn how to create a supportive classroom environment in which their students think together, take intellectual risks, and debate ideas. They’ll gain a better understanding about the importance of cooperative learning strategies through immersion. And they’ll engage in logic and reasoning. Puzzles and activities are presented to bring the material to life as well. All of this will help high school mathematics bring the excitement of the subject into the classroom.

College Algebra A Make It Real Approach

Author : Frank Wilson
ISBN : 9780618945320
Genre : Mathematics
File Size : 46. 9 MB
Format : PDF, Kindle
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This new text provides a contemporary approach to college algebra, ideal for the many skeptical or apprehensive students who ask, When am I ever going to use this? The key phrase is Make It Real since the goal is to make the material relevant and understandable to today's college students. But many books make this claim--so how is COLLEGE ALGEBRA: MAKE IT REAL different? In other texts, which simply wrap real-world situations around problems, the context isn't needed to do the mathematics. Written by skilled and passionate teachers, this text uses real-world data sets and situations to draw out mathematical concepts. Students are immersed in familiar contexts--from golf course ratings to Egyptian pyramids--from which concepts emerge naturally, and then guided in using their understanding of those ideas to make sense of the mathematics. The real-world contexts are not only helpful for understanding procedures--they're necessary. The concept of a function, the use of modeling, and the thorough integration of real-world applications are integral to the text. If there's one new college algebra text crafted to stand up to a reality check comparison with your current book, this is it. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Teaching By Design In Elementary Mathematics Grades 2 3

Author : Jennifer Stepanek
ISBN : 9781452238814
Genre : Education
File Size : 67. 14 MB
Format : PDF, ePub
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Strengthen mathematics lessons through collaborative learning with this research-based professional development program. Included are grade-appropriate number and operations topics aligned with the Common Core State Standards.

Teaching By Design In Elementary Mathematics Grades K 1

Author : Jennifer Stepanek
ISBN : 9781452238838
Genre : Education
File Size : 79. 89 MB
Format : PDF, ePub, Docs
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Strengthen mathematics lessons through collaborative learning with this research-based professional development program. Included are grade-appropriate number and operations topics aligned with the Common Core State Standards.

Making Math Connections

Author : Hope Martin
ISBN : 1412937663
Genre : Education
File Size : 82. 35 MB
Format : PDF, ePub
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These high-interest math investigations will help students see math as a vital, meaningful tool in their daily lives both inside and outside of the classroom.

Ccss And Udl Common Core State Standards And Universal Design For Learning

Author : Joseph Casbarro
ISBN : 9781935609773
Genre : Education
File Size : 50. 73 MB
Format : PDF, ePub, Docs
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Given the prevalence of student diversity, schools are struggling to find ways to help with the implementation of CCSS. With the wide range of student learning styles, socioeconomic backgrounds and life experiences, one key to meeting this challenge is the use of Universal Design for Learning (UDL). Originally developed to address the instructional needs of students with disabilities, UDL is now being embraced as an answer to creating learning environments where all students, regardless of their individual differences, can meet the CCSS. Designed for classroom teachers, this guide provides practical strategies and best practices for utilizing UDL as a means to help students successfully access and achieve the CCSS.

The Mathematical Education Of Teachers

Author :
ISBN : 0821828991
Genre : Mathematics
File Size : 82. 37 MB
Format : PDF
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Now is a time of great interest in mathematics education. Student performance, curriculum, and teacher education are the subjects of much scrutiny and debate. Studies on the mathematical knowledge of prospective and practicing U. S. teachers suggest ways to improve their mathematical educations. It is often assumed that because the topics covered in K-12 mathematics are so basic, they should be easy to teach. However, research in mathematics education has shown that to teach well, substantial mathematical understanding is necessary--even to teach whole-number arithmetic. Prospective teachers need a solid understanding of mathematics so that they can teach it as a coherent, reasoned activity and communicate its elegance and power. This volume gathers and reports current thinking on curriculum and policy issues affecting the mathematical education of teachers. It considers two general themes: (1) the intellectual substance in school mathematics; and (2) the special nature of the mathematical knowledge needed for teaching. The underlying study was funded by a grant from the U.S. Department of Education. The mathematical knowledge needed for teaching is quite different from that required by students pursuing other mathematics-related professions. Material here is geared toward stimulating efforts on individual campuses to improve programs for prospective teachers. This report contains general recommendations for all grades and extensive discussions of the specific mathematical knowledge required for teaching elementary, middle, and high-school grades, respectively. It is also designed to marshal efforts in the mathematical sciences community to back important national initiatives to improve mathematics education and to expand professional development opportunities. The book will be an important resource for mathematics faculty and other parties involved in the mathematical education of teachers. Information for our distributors: This series is published in cooperation with the Mathematical Association of America.

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