BioMath in the Schools

BioMath in the Schools
Title BioMath in the Schools PDF eBook
Author Margaret B. Cozzens
Publisher American Mathematical Soc.
Pages 266
Release 2011
Genre Computers
ISBN 0821842951

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Even though contemporary biology and mathematics are inextricably linked, high school biology and mathematics courses have traditionally been taught in isolation. But this is beginning to change. This volume presents papers related to the integration of biology and mathematics in high school classes. The first part of the book provides the rationale for integrating mathematics and biology in high school courses as well as opportunities for doing so. The second part explores the development and integration of curricular materials and includes responses from teachers. Papers in the third part of the book explore the interconnections between biology and mathematics in light of new technologies in biology. The last paper in the book discusses what works and what doesn't and presents positive responses from students to the integration of mathematics and biology in their classes.

The Essence of Mathematics Through Elementary Problems

The Essence of Mathematics Through Elementary Problems
Title The Essence of Mathematics Through Elementary Problems PDF eBook
Author Alexandre Borovik
Publisher
Pages 398
Release 2019-06-11
Genre Mathematics
ISBN 9781783746996

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Fulfilling the Promise

Fulfilling the Promise
Title Fulfilling the Promise PDF eBook
Author National Research Council
Publisher National Academies Press
Pages 169
Release 1990-02-01
Genre Education
ISBN 0309051479

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Why are students today not learning biology, appreciating its importance in their lives, or pursuing it as a career? Experts believe dismal learning experiences in biology classes are causing the vast majority of students to miss information that could help them lead healthier lives and make more intelligent decisions as adults. How can we improve the teaching of biology throughout the school curriculum? Fulfilling the Promise offers a vision of what biology education in our schools could beâ€"along with practical, hard-hitting recommendations on how to make that vision a reality. Noting that many of their recommended changes will be controversial, the authors explore in detail the major questions that must be answered to bring biology education to an acceptable standard: how elementary, middle, and high-school biology education arrived at its present state; what impediments stand in the way of improving biology education; how to properly prepare biology teachers and encourage their continuing good performance; and what type of leadership is needed to improve biology education.

An Invitation to Biomathematics

An Invitation to Biomathematics
Title An Invitation to Biomathematics PDF eBook
Author Raina Robeva
Publisher Academic Press
Pages 466
Release 2007-08-28
Genre Mathematics
ISBN 0080550991

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Essential for all biology and biomathematics courses, this textbook provides students with a fresh perspective of quantitative techniques in biology in a field where virtually any advance in the life sciences requires a sophisticated mathematical approach. An Invitation to Biomathematics, expertly written by a team of experienced educators, offers students a solid understanding of solving biological problems with mathematical applications. This text succeeds in enabling students to truly experience advancements made in biology through mathematical models by containing computer-based hands-on laboratory projects with emphasis on model development, model validation, and model refinement. The supplementary work, Laboratory Manual of Biomathematics is available separately ISBN 0123740223, or as a set ISBN: 0123740290) - Provides a complete guide for development of quantification skills crucial for applying mathematical methods to biological problems - Includes well-known examples from across disciplines in the life sciences including modern biomedical research - Explains how to use data sets or dynamical processes to build mathematical models - Offers extensive illustrative materials - Written in clear and easy-to-follow language without assuming a background in math or biology - A laboratory manual is available for hands-on, computer-assisted projects based on material covered in the text

Mathematical Models in Biology

Mathematical Models in Biology
Title Mathematical Models in Biology PDF eBook
Author Leah Edelstein-Keshet
Publisher SIAM
Pages 629
Release 1988-01-01
Genre Mathematics
ISBN 9780898719147

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Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.

High-School Biology Today and Tomorrow

High-School Biology Today and Tomorrow
Title High-School Biology Today and Tomorrow PDF eBook
Author National Research Council
Publisher National Academies
Pages 361
Release 1989-02-01
Genre Education
ISBN 0309040280

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Biology is where many of science's most exciting and relevant advances are taking place. Yet, many students leave school without having learned basic biology principles, and few are excited enough to continue in the sciences. Why is biology education failing? How can reform be accomplished? This book presents information and expert views from curriculum developers, teachers, and others, offering suggestions about major issues in biology education: what should we teach in biology and how should it be taught? How can we measure results? How should teachers be educated and certified? What obstacles are blocking reform?

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution
Title A Biologist's Guide to Mathematical Modeling in Ecology and Evolution PDF eBook
Author Sarah P. Otto
Publisher Princeton University Press
Pages 745
Release 2011-09-19
Genre Science
ISBN 1400840910

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Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available