Open Middle Math
Open Middle Math

Author: Robert Kaplinsky

Publisher: Taylor & Francis

Published: 2023-10-10

Total Pages: 193

ISBN-13: 1003839886

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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.

Open-Ended Maths Activities
Open-Ended Maths Activities

Author: Peter Sullivan

Publisher:

Published: 2004

Total Pages: 112

ISBN-13: 9780195517682

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Open-ended Maths Activities Second Edition is the revised and expanded edition of the best-selling title by Peter Sullivan and Pat Lilburn. It discusses a type of open-ended, problem-solving question called a 'good' question. These questions enhance learning, teaching and assessment and are a useful addition to a teacher's strategies. It includes: practical advice on how to create your own 'good' questions to use within the classroom organised by subject area and levels (upper, middle and junior) the sixteen topics covered are included within Number, Measurement, Space and Chance and Data.

Solve that Problem!.
Solve that Problem!.

Author: Sharon Shapiro

Publisher: Blake Education

Published: 2001

Total Pages: 94

ISBN-13: 9781865097671

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Problem solving process - Creating a tree diagram - Working backwards - Using simpler numbers - Open-ended problem solving - Analysing and investigating - Using logical reasoning.

Author:

Publisher: Arihant Publications India limited

Published:

Total Pages:

ISBN-13:

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Calculator in Upper Primary Mathematics
Calculator in Upper Primary Mathematics

Author: Dr Yeap Ban Har

Publisher: Shing Lee Publishers Pte Ltd

Published: 2009-01-01

Total Pages: 64

ISBN-13: 9812374027

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In an increasingly technological world, mathematics curricula around the world have responded accordingly. Tedious computation, which is efficiently and accurately done using a simple calculator as well as more powerful software programmes, can no longer be the focus of any mathematics curriculum. In Singapore, the curriculum was recently revised to focus on the development and improvement of students’ intellectual competence (Singapore Ministry of Education 2006). The ability to visualize and to look for connections are given more emphasis than the ability to do tedious computation. Research in the use of calculators in mathematics teaching and learning has generally concentrated on two areas. First, there have been metaanalyses of the effects of calculator use on student achievement. Second, there are several studies on teachers’ beliefs on calculator use in the classroom. The metaanalyses of the effects of calculator use have found that there were improvements in computational, conceptual and problem-solving skills as well as in attitudes towards mathematics (Ellington, 2003; Hembree & Dessart, 1992). A study on instructional leaders showed that the majority of them agree with the research findings (Yeo, 2008). A study on practising teachers found that a majority of them did not believe that calculator use lowers students’ achievement (Carter, Ferrucci & Yeap, 2008). In a press release to explain the move to introduce the use of calculators in examination in upper primary levels, it was announced that calculator use can facilitate exploration to discover patterns and to make generalizations as well as make the use of authentic data possible (Singapore Ministry of Education, 2007). Without calculator use, the repetitive computations needed for students to discover patterns make this important aspect of mathematics learning tedious. Authentic data often involve numbers which may be difficult for students to deal with without calculators.

81 Fresh & Fun Critical-thinking Activities
81 Fresh & Fun Critical-thinking Activities

Author: Laurie Rozakis

Publisher: Scholastic Inc.

Published: 1998

Total Pages: 124

ISBN-13: 9780590375269

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Help children of all learning styles and strengths improve their critical thinking skills with these creative, cross-curricular activities. Each engaging activity focuses on skills such as recognizing and recalling, evaluating, and analyzing.