Author : Linda Dacey, Ed.D.
Publisher : Teacher Created Materials
Page : 4 pages
File Size : 46,77 MB
Release : 2014-07-01
Category :
ISBN : 1480786284
Differentiate problem solving in your classroom using effective, research-based strategies. This lesson focuses on solving problems related to multiples and factor concepts. The problem-solving mini-lesson guides teachers in how to teach differentiated lessons. The student activity sheet features a problem tiered at three levels.
Author : Linda Dacey, Ed.D.
Publisher : Teacher Created Materials
Page : 4 pages
File Size : 23,42 MB
Release : 2014-07-01
Category :
ISBN : 148078625X
Differentiate problem solving in your classroom using effective, research-based strategies. This lesson focuses on solving problems related to multiples and factors. The problem-solving mini-lesson guides teachers in how to teach differentiated lessons. The student activity sheet features a problem tiered at three levels.
Author : Linda Dacey
Publisher : Teacher Created Materials
Page : 148 pages
File Size : 38,12 MB
Release : 2012-04-01
Category : 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.
Author : Robert Kaplinsky
Publisher : Taylor & Francis
Page : 193 pages
File Size : 10,69 MB
Release : 2023-10-10
Category : Education
ISBN : 1003839886
This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.
Author : N. Bednarz
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 25,47 MB
Release : 2012-12-06
Category : 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.
Author : National Research Council
Publisher : National Academies Press
Page : 386 pages
File Size : 45,17 MB
Release : 2000-08-11
Category : 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.
Author : Sharon Griffin
Publisher :
Page : 0 pages
File Size : 34,43 MB
Release : 2007-08
Category : 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.
Author : Kumon Publishing
Publisher : Kumon Math Workbooks
Page : 0 pages
File Size : 37,30 MB
Release : 2009
Category : Juvenile Nonfiction
ISBN : 9781934968390
Kumon's Word Problems Workbooks develop the skills necessary for children's success using math inside and outside the classroom. Our unique step-by-step progression introduces children to a wide variety of word problems that inspire critical thinking. Grade 4 Word Problems focuses on word problems that cover the following topics Division Decimals Using Formulas Mixed Calculations Tables and Graphs
Author : Sybilla Beckmann
Publisher : Pearson Education
Page : 883 pages
File Size : 17,48 MB
Release : 2009-07-01
Category : Education
ISBN : 9780321645807
This activities manul includes activities designed to be done in class or outside of class. These activities promote critical thinking and discussion and give students a depth of understanding and perspective on the concepts presented in the text.
Author : James Hiebert
Publisher : Heinemann Educational Books
Page : 214 pages
File Size : 27,74 MB
Release : 1997
Category : 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.
