Number Sense Leveled Problem: Add and Subtract At the Farm

Number Sense Leveled Problem: Add and Subtract At the Farm
Author: Linda Dacey, Ed.D.
Publisher: Teacher Created Materials
Total Pages: 4
Release: 2014-01-01
Genre:
ISBN: 1425885268

Differentiate problem solving in your classroom using effective, research-based strategies. The problem-solving mini-lesson guides teachers in how to teach differentiated lessons. The student activity sheet features a problem tiered at three levels.

How People Learn

How People Learn
Author: National Research Council
Publisher: National Academies Press
Total Pages: 386
Release: 2000-08-11
Genre: Education
ISBN: 0309131979

First released in the Spring of 1999, How People Learn has been expanded to show how the theories and insights from the original book can translate into actions and practice, now making a real connection between classroom activities and learning behavior. This edition includes far-reaching suggestions for research that could increase the impact that classroom teaching has on actual learning. Like the original edition, this book offers exciting new research about the mind and the brain that provides answers to a number of compelling questions. When do infants begin to learn? How do experts learn and how is this different from non-experts? What can teachers and schools do-with curricula, classroom settings, and teaching methodsâ€"to help children learn most effectively? New evidence from many branches of science has significantly added to our understanding of what it means to know, from the neural processes that occur during learning to the influence of culture on what people see and absorb. How People Learn examines these findings and their implications for what we teach, how we teach it, and how we assess what our children learn. The book uses exemplary teaching to illustrate how approaches based on what we now know result in in-depth learning. This new knowledge calls into question concepts and practices firmly entrenched in our current education system. Topics include: How learning actually changes the physical structure of the brain. How existing knowledge affects what people notice and how they learn. What the thought processes of experts tell us about how to teach. The amazing learning potential of infants. The relationship of classroom learning and everyday settings of community and workplace. Learning needs and opportunities for teachers. A realistic look at the role of technology in education.

Precalculus

Precalculus
Author: Jay P. Abramson
Publisher:
Total Pages: 2000
Release: 2014-10-23
Genre: Algebra
ISBN: 9781938168345

"Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of OpenStax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. OpenStax will also be releasing College Algebra and Algebra and trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses."--Preface.

The Calculus Lifesaver

The Calculus Lifesaver
Author: Adrian Banner
Publisher: Princeton University Press
Total Pages: 754
Release: 2007-03-25
Genre: Mathematics
ISBN: 0691130884

For many students, calculus can be the most mystifying and frustrating course they will ever take. Based upon Adrian Banner's popular calculus review course at Princeton University, this book provides students with the essential tools they need not only to learn calculus, but also to excel at it.

Lesson Play in Mathematics Education:

Lesson Play in Mathematics Education:
Author: Rina Zazkis
Publisher: Springer Science & Business Media
Total Pages: 289
Release: 2012-12-28
Genre: Education
ISBN: 1461435498

Lesson play is a novel construct in research and teachers’ professional development in mathematics education. Lesson play refers to a lesson or part of a lesson presented in dialogue form—inspired in part by Lakatos’s evocative Proofs and Refutations—featuring imagined interactions between a teacher and her/his students. We have been using and refining our use of this tool for a number of years and using it in a variety of situations involving mathematics thinking and learning. The goal of this proposed book is to offer a comprehensive survey of the affordances of the tool, the results of our studies—particularly in the area of pre-service teacher education, and the reasons that the tool offers such productive possibilities for both researchers and teacher educators.

Approaches to Algebra

Approaches to Algebra
Author: N. Bednarz
Publisher: Springer Science & Business Media
Total Pages: 342
Release: 2012-12-06
Genre: Education
ISBN: 9400917325

In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an "arithmetic" of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.

Becoming a High Expectation Teacher

Becoming a High Expectation Teacher
Author: Christine Rubie-Davies
Publisher: Routledge
Total Pages: 275
Release: 2014-08-13
Genre: Education
ISBN: 1317644638

We constantly hear cries from politicians for teachers to have high expectations. But what this means in practical terms is never spelled out. Simply deciding that as a teacher you will expect all your students to achieve more than other classes you have taught in the same school, is not going to translate automatically into enhanced achievement for students. Becoming a High Expectation Teacher is a book that every education student, training or practising teacher, should read. It details the beliefs and practices of high expectation teachers – teachers who have high expectations for all their students – and provides practical examples for teachers of how to change classrooms into ones in which all students are expected to learn at much higher levels than teachers may previously have thought possible. It shows how student achievement can be raised by providing both research evidence and practical examples. This book is based on the first ever intervention study in the teacher expectation area, designed to change teachers’ expectations through introducing them to the beliefs and practices of high expectation teachers. A holistic view of the classroom is emphasised whereby both the instructional and socio-emotional aspects of the classroom are considered if teachers are to increase student achievement. There is a focus on high expectation teachers, those who have high expectations for all students, and a close examination of what it is that these teachers do in their classrooms that mean that their students make very large learning gains each year. Becoming a High Expectation Teacher explores three key areas in which what high expectation teachers do differs substantially from what other teachers do: the way they group students for learning, the way they create a caring classroom community, and the way in which they use goalsetting to motivate students, to promote student autonomy and to promote mastery learning. Areas covered include:- Formation of teacher expectations Teacher personality and expectation Ability grouping and goal setting Enhancing class climate Sustaining high expectations for students Becoming a High Expectation Teacher is an essential read for any researcher, student, trainee or practicing teacher who cares passionately about the teacher-student relationship and about raising expectations and student achievement.

Working With Numbers and Statistics

Working With Numbers and Statistics
Author: Charles Livingston
Publisher: Routledge
Total Pages: 124
Release: 2005-05-06
Genre: Language Arts & Disciplines
ISBN: 1135605939

Working With Numbers and Statistics: A Handbook for Journalists will bolster math skills and improve math confidence for journalists at all skill levels. Authors Charles Livingston and Paul Voakes developed this resource book to improve journalistic writing and reporting, enabling journalists to: *make accurate, reliable computations, which in turn enables one to make relevant comparisons, put facts into perspective, and lend important context to stories; *recognize inaccurate presentations, whether willfully spun or just carelessly relayed; *ask appropriate questions about numerical matters; *translate complicated numbers for viewers and readers in ways they can readily understand; *understand computer-assisted reporting; and *write livelier, more precise pieces through the use of numbers. The math is presented in a journalistic context throughout, enabling readers to see how the procedures will come into play in their work. Working With Numbers and Statistics is designed as a reference work for journalism students developing their writing and reporting skills. It will also serve professionals as a useful tool to improve their understanding and use of numbers in news stories.