The Pre-calculus Problem Solver


Book Description




Open Middle Math


Book Description

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.




Energy Calculations and Problem Solving Sourcebook


Book Description

Based on the Body of Knowledge, this book is designed to serve as a practical guide for energy professionals preparing to take AEE’s Certified Energy Manager® (CEM®) examination. The reference presents an overview of the specific areas of expertise referenced in the current Body of Knowledge in a guided preparatory format, including detailed, specifically targeted reference materials. The full scope of energy calculations and problem solving strategies which must be mastered are presented, covering relevant codes and standards, energy accounting and economics, electrical, lighting and HVAC systems, motors and drives, industrial systems, building envelope, building automation and control systems, renewable energy, boiler and steam systems, thermal storage, maintenance, commissioning, alternative financing, and much more. Green Building, LEED and Energy Star programs are also addressed. The appendix provides a broad range of useful reference tables, as well as mathematical formulas specific to each specific area of energy management addressed. While aimed at those taking the ANSI-certified CEM exam, this text is also an excellent reference to be used throughout an energy manager’s professional career.




Energy Calculations and Problem Solving Sourcebook


Book Description

Based on the Body of Knowledge, this book is designed to serve as a practical guide for energy professionals preparing to take AEE’s Certified Energy Manager® (CEM®) examination. The reference presents an overview of the specific areas of expertise referenced in the current Body of Knowledge in a guided preparatory format, including detailed, specifically targeted reference materials. The full scope of energy calculations and problem solving strategies which must be mastered are presented, covering relevant codes and standards, energy accounting and economics, electrical, lighting and HVAC systems, motors and drives, industrial systems, building envelope, building automation and control systems, renewable energy, boiler and steam systems, thermal storage, maintenance, commissioning, alternative financing, and much more. Green Building, LEED and Energy Star programs are also addressed. The appendix provides a broad range of useful reference tables, as well as mathematical formulas specific to each specific area of energy management addressed. While aimed at those taking the ANSI-certified CEM exam, this text is also an excellent reference to be used throughout an energy manager’s professional career.




Mathematics in the Primary School


Book Description

National Curriculum guidelines emphasise knowledge, understanding and skills. The author, an internationally recognised authority, provides teachers with a clear explanation of these principles, and explains the relation between understanding and skills, and describes their application to the teaching of mathematics. The book contains numerous activities to show how mathematics can be learnt in the primary classroom with understanding and enjoyment, including: * formation of mathematical concepts * construction of knowledge * contents and structure of primary mathematics




How to Become a Human Calculator


Book Description

Useful for School students, teachers, and professionals and a must for those appearing for competitive exams like UPSC, MBA, MCA, GMAT, GRE, CSAT, etc. “After reading this book, solving 5378942639 ÷ 8120594263, finding the square of 99975, the cube root of 704969 or calculating any day from 500 years would be child’s play




Secrets of Mental Math


Book Description

These simple math secrets and tricks will forever change how you look at the world of numbers. Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun. Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.




Problem Solving in Mathematics Education


Book Description

This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts – what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled.







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