Contexts of Learning Mathematics and Science

Contexts of Learning Mathematics and Science
Author: Sarah J. Howie
Publisher: Routledge
Total Pages: 449
Release: 2006-04-18
Genre: Education
ISBN: 1134232160

This book is the result of research from over fifteen countries, asking which background and environmental factors influence achievement in mathematics and science. This research is based on data from the Third International Mathematics and Science Study (TIMSS), which was conducted under the auspices of the International Association for the Evaluation of Educational Achievement (IEA) in 1995 and 1998. In many countries researchers have started secondary analysis of the data in search for relationships between contextual factors and achievement. In these analyses two different approaches can be distinguished, which can be characterised by the metaphors of ‘fishing’ and ‘hunting’. In the ‘fishing’ approach, researchers begin with an open mind, considering all possible context variables as potentially influential. Applying analysis techniques such as regression analysis, Lisrel, PLS, HLM, and MLN, they then identify important factors within their countries or across a number of countries. In the ‘hunting’ approach, researchers hypothesise certain context variables and trace the effect of these variables on mathematics and/or science achievement.

Elementary Mathematics in Context

Elementary Mathematics in Context
Author: Charlene Sheets
Publisher: IAP
Total Pages: 123
Release: 2013-06-01
Genre: Education
ISBN: 1623963818

These materials were developed, in part, by a grant from the federally-funded Mathematics and Science Partnership through the Center for STEM Education. Some of the activities were adapted from the National Council of Teachers of Mathematics Illuminations, the National Library of Virtual Manipulatives, Hands-On Math Projects with Real Applications by Judith A. Muschla and Gary R. Muschla, Learning Math with Calculators: Activities for Grades 3-8 by Len Sparrow and Paul Swan, and Mathematical Ideas by Charles D. Miller, Vern E. Heeren and John Hornsby. The following UNC Charlotte, Charlotte, North Carolina graduates contributed to the development of the work products: Anna Athanasopoulou, Stephen Chambers, Fabio Franco, Jen Krieger, Morgan Leith, Chris Muellenbach, Ashley Nagowski, Jamie Pursley, Brandy Reece, Lauren Selvey and Linda Xiong.

Interest in Mathematics and Science Learning

Interest in Mathematics and Science Learning
Author: Ann Renninger
Publisher:
Total Pages: 328
Release: 2015-04-19
Genre: Education
ISBN: 0935302425

Interest in Mathematics and Science Learning, edited by K. Ann Renninger, Martin Nieswandt, and Suzanne Hidi, is the first volume to assemble findings on the role of interest in mathematics and science learning. As the contributors illuminate across the volume's 22 chapters, interest provides a critical bridge between cognition and affect in learning and development. This volume will be useful to educators, researchers, and policy makers, especially those whose focus is mathematics, science, and technology education.

Mathematical and Scientific Development in Early Childhood

Mathematical and Scientific Development in Early Childhood
Author: National Research Council
Publisher: National Academies Press
Total Pages: 54
Release: 2005-01-23
Genre: Education
ISBN: 0309095034

Expectations for early learning are very different than they were even as recently as a decade ago. With increased recognition of the intellectual capacities of young children, as well as a growing understanding of how these capacities develop and can be fostered, has come a growing recognition that early childhood education, in both formal and informal settings, may not be helping all children maximize their cognitive capacities. Mathematical and Scientific Development in Early Childhood explores the research in cognition and developmental psychology that sheds light on children's capacity to learn mathematical and scientific ideas. This summary report of the discussions and presentations at the workshop is designed to frame the issues relevant to advancing research useful to the development of research-based curricula for mathematics and science for young children.

Compendium for Early Career Researchers in Mathematics Education

Compendium for Early Career Researchers in Mathematics Education
Author: Gabriele Kaiser
Publisher: Springer
Total Pages: 528
Release: 2019-04-26
Genre: Education
ISBN: 3030156362

The purpose of this Open Access compendium, written by experienced researchers in mathematics education, is to serve as a resource for early career researchers in furthering their knowledge of the state of the field and disseminating their research through publishing. To accomplish this, the book is split into four sections: Empirical Methods, Important Mathematics Education Themes, Academic Writing and Academic Publishing, and a section Looking Ahead. The chapters are based on workshops that were presented in the Early Career Researcher Day at the 13th International Congress on Mathematical Education (ICME-13). The combination of presentations on methodological approaches and theoretical perspectives shaping the field in mathematics education research, as well as the strong emphasis on academic writing and publishing, offered strong insight into the theoretical and empirical bases of research in mathematics education for early career researchers in this field. Based on these presentations, the book provides a state-of-the-art overview of important theories from mathematics education and the broad variety of empirical approaches currently widely used in mathematics education research. This compendium supports early career researchers in selecting adequate theoretical approaches and adopting the most appropriate methodological approaches for their own research. Furthermore, it helps early career researchers in mathematics education to avoid common pitfalls and problems while writing up their research and it provides them with an overview of the most important journals for research in mathematics education, helping them to select the right venue for publishing and disseminating their work.

Learning and Understanding

Learning and Understanding
Author: National Research Council
Publisher: National Academies Press
Total Pages: 589
Release: 2002-09-06
Genre: Education
ISBN: 0309074401

This book takes a fresh look at programs for advanced studies for high school students in the United States, with a particular focus on the Advanced Placement and the International Baccalaureate programs, and asks how advanced studies can be significantly improved in general. It also examines two of the core issues surrounding these programs: they can have a profound impact on other components of the education system and participation in the programs has become key to admission at selective institutions of higher education. By looking at what could enhance the quality of high school advanced study programs as well as what precedes and comes after these programs, this report provides teachers, parents, curriculum developers, administrators, college science and mathematics faculty, and the educational research community with a detailed assessment that can be used to guide change within advanced study programs.

A Pedagogy for Liberation

A Pedagogy for Liberation
Author: Ira Shor
Publisher: Praeger
Total Pages: 0
Release: 1987
Genre: Education
ISBN: 0897891058

Two world renowned educators, Paulo Freire and Ira Shor, speak passionately about the role of education in various cultural and political arenas. They demonstrate the effectiveness of dialogue in action as a practical means by which teachers and students can become active participants in the learning process. In a lively exchange, the authors illuminate the problems of the educational system in relation to those of the larger society and argue for the pressing need to transform the classroom in both Third and First World contexts. Shor and Freire illustrate the possibilities of transformation by describing their own experiences in liberating the classroom from its traditional constraints. They demonstrate how vital the teacher's role is in empowering students to think critically about themselves and their relation, not only to the classroom, but to society. For those readers seeking a liberatory approach to education, these dialogues will be a revelation and a unique summary. For all those convinced of the need for transformation, this book shows the way.

Exploring Mathematics and Science Teachers' Knowledge

Exploring Mathematics and Science Teachers' Knowledge
Author: Hamsa Venkat
Publisher: Routledge
Total Pages: 236
Release: 2014-05-09
Genre: Education
ISBN: 1134683642

Globally, mathematics and science education faces three crucial challenges: an increasing need for mathematics and science graduates; a declining enrolment of school graduates into university studies in these disciplines; and the varying quality of school teaching in these areas. Alongside these challenges, internationally more and more non-specialists are teaching mathematics and science at both primary and secondary levels, and research evidence has revealed how gaps and limitations in teachers’ content understandings can lead to classroom practices that present barriers to students’ learning. This book addresses these issues by investigating how teachers’ content knowledge interacts with their pedagogies across diverse contexts and perspectives. This knowledge-practice nexus is examined across mathematics and science teaching, traversing schooling phases and countries, with an emphasis on contexts of disadvantage. These features push the boundaries of research into teachers’ content knowledge. The book’s combination of mathematics and science enriches each discipline for the reader, and contributes to our understandings of student attainment by examining the nature of specialised content knowledge needed for competent teaching within and across the two domains. Exploring Mathematics and Science Teachers’ Knowledge will be key reading for researchers, doctoral students and postgraduates with a focus on Mathematics, Science and teacher knowledge research.

Science Teachers' Learning

Science Teachers' Learning
Author: National Academies of Sciences, Engineering, and Medicine
Publisher: National Academies Press
Total Pages: 257
Release: 2016-01-15
Genre: Education
ISBN: 0309380189

Currently, many states are adopting the Next Generation Science Standards (NGSS) or are revising their own state standards in ways that reflect the NGSS. For students and schools, the implementation of any science standards rests with teachers. For those teachers, an evolving understanding about how best to teach science represents a significant transition in the way science is currently taught in most classrooms and it will require most science teachers to change how they teach. That change will require learning opportunities for teachers that reinforce and expand their knowledge of the major ideas and concepts in science, their familiarity with a range of instructional strategies, and the skills to implement those strategies in the classroom. Providing these kinds of learning opportunities in turn will require profound changes to current approaches to supporting teachers' learning across their careers, from their initial training to continuing professional development. A teacher's capability to improve students' scientific understanding is heavily influenced by the school and district in which they work, the community in which the school is located, and the larger professional communities to which they belong. Science Teachers' Learning provides guidance for schools and districts on how best to support teachers' learning and how to implement successful programs for professional development. This report makes actionable recommendations for science teachers' learning that take a broad view of what is known about science education, how and when teachers learn, and education policies that directly and indirectly shape what teachers are able to learn and teach. The challenge of developing the expertise teachers need to implement the NGSS presents an opportunity to rethink professional learning for science teachers. Science Teachers' Learning will be a valuable resource for classrooms, departments, schools, districts, and professional organizations as they move to new ways to teach science.

Second Year Calculus

Second Year Calculus
Author: David M. Bressoud
Publisher: Springer Science & Business Media
Total Pages: 399
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461209595

Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The book guides us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically new and often counter-intuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that reality. The development of this process is discussed from the modern viewpoint of differential forms. Using this concept, the student learns to compute orbits and rocket trajectories, model flows and force fields, and derive the laws of electricity and magnetism. These exercises and observations of mathematical symmetry enable the student to better understand the interaction of physics and mathematics.