Operations and Algebraic Thinking Leveled Problems: Grouping Pennies

Operations and Algebraic Thinking Leveled Problems: Grouping Pennies
Author: Linda Dacey, Ed.D.
Publisher: Teacher Created Materials
Total Pages: 4
Release: 2014-07-01
Genre:
ISBN: 1480786276

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

50 Leveled Math Problems Level 1

50 Leveled Math Problems Level 1
Author: Linda Dacey
Publisher: Teacher Created Materials
Total Pages: 148
Release: 2012-04-01
Genre: Education
ISBN: 9781425807733

It includes: 50 leveled math problems (150 problems total), an overview of the problem-solving process, and ideas for formative assessment of students' problem-solving abilities. It also includes 50 mini-lessons and a dstudent activity sheet featuring a problem tiered at three levels, plus digital resources that inc electronic versions of activity sheets. This resource is aligned to the interdisciplinary themes from the Partnership for 21st Century Skills, and supports core concepts of STEM instruction.

Operations in Base Ten Leveled Problem: Problem Solving--How Many Pennies?

Operations in Base Ten Leveled Problem: Problem Solving--How Many Pennies?
Author: Linda Dacey, Ed.D.
Publisher: Teacher Created Materials
Total Pages: 4
Release: 2014-01-01
Genre:
ISBN: 1425885438

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.

50 Leveled Math Problems Level 4

50 Leveled Math Problems Level 4
Author: Linda Dacey
Publisher: Teacher Created Materials
Total Pages: 148
Release: 2012-04-01
Genre: Education
ISBN: 9781425807764

It includes: 50 leveled math problems (150 problems total), an overview of the problem-solving process, and ideas for formative assessment of students' problem-solving abilities. It also includes 50 mini-lessons and a dstudent activity sheet featuring a problem tiered at three levels, plus digital resources that inc electronic versions of activity sheets. This resource is aligned to the interdisciplinary themes from the Partnership for 21st Century Skills, and supports core concepts of STEM instruction.

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.

SRA Real Math

SRA Real Math
Author: Sharon Griffin
Publisher:
Total Pages: 0
Release: 2007-08
Genre: Mathematics
ISBN: 9780076124268

A standards-based, comprehensive math intervention curriculum for the state of California. Designed for students identified with math deficiencies who have not responded to reteaching efforts or who have a sustained lack of adquate progress in mathematics. This program provides intensive focus on developing foundational understanding and skills. It provides explicit, scientifically based instruction emphasizing the five critical elements of mathematics proficiency: understanding, computing, applying reasoning/problem solving , and engagement.

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.

Why Don't Students Like School?

Why Don't Students Like School?
Author: Daniel T. Willingham
Publisher: John Wiley & Sons
Total Pages: 324
Release: 2009-06-10
Genre: Education
ISBN: 0470730455

Easy-to-apply, scientifically-based approaches for engaging students in the classroom Cognitive scientist Dan Willingham focuses his acclaimed research on the biological and cognitive basis of learning. His book will help teachers improve their practice by explaining how they and their students think and learn. It reveals-the importance of story, emotion, memory, context, and routine in building knowledge and creating lasting learning experiences. Nine, easy-to-understand principles with clear applications for the classroom Includes surprising findings, such as that intelligence is malleable, and that you cannot develop "thinking skills" without facts How an understanding of the brain's workings can help teachers hone their teaching skills "Mr. Willingham's answers apply just as well outside the classroom. Corporate trainers, marketers and, not least, parents -anyone who cares about how we learn-should find his book valuable reading." —Wall Street Journal

Making Sense

Making Sense
Author: James Hiebert
Publisher: Heinemann Educational Books
Total Pages: 214
Release: 1997
Genre: Education
ISBN:

This book presents several key principles for teaching mathematics for understanding that you can use to reflect on your own teaching, make more informed decisions, and develop more effective systems of instruction.