‘Too often, middle school and high school teachers say, ‘These students are lacking number sense.’ These books will help secondary teachers with good pedagogy to help build number sense in a creative way. John San Giovanni and Eric Milou have created short routines that are teacher-friendly, with lots of examples, and easy to adapt to each teacher’s needs. These are the books that secondary teachers have been waiting for to help engage students in building number sense.’
Pamela J. Dombrowski, Secondary Math Specialist
Geary County School District
Junction City, KS
Kickstart your middle school math class!
Do your students need more opportunities do develop number sense and reasoning? Are you looking to get your students energized and talking about mathematics? Have you wondered how practical, replicable, and engaging activities would complement your mathematics instruction?
This guide answers the question ‘What could I do differently?’ by taking cues from some of the most effective types of routines commonly used to engage students in reasoning while developing and reinforcing their number sense. This book offers 20 different routines, all of which include content examples, extensions, and variations for grades 6–8. It includes a year’s worth of daily instructional material that you can use each class period to promote student reasoning and number sense. The routines in this book will help students
- Frequently revisit essential mathematical concepts
- Foster and shore up conceptual understanding
- Engage in mental mathematics, leading to efficiency and fluency
- Engage in mathematical discourse by constructing viable arguments and critiquing the reasoning of others
- Reason mathematically, which can improve performance on high-stakes assessments
- Move learning beyond ‘correctness’ by valuing mistakes and discourse to encourage a growth mindset
From trusted authors and experts John San Giovanni and Eric Milou, this teacher-friendly resource will give you all the tools and tips you need to reinvent those critical first five or ten minutes of math class for the better!
สารบัญ
Part I: Why Jump-Start Routines?
The First Few Minutes of Mathematics Class
Why the Traditional Warmup Doesn’t Work
The Problem with Going Over Homework
Jump-start Routines: New Warmups for a New Era
Routines for Reasoning in Mathematics
Routines for Improving Number Sense and Fluency
Building Number Sense and Fluency Over Time with Routines
10, 000 Hours of Practice
Routines that Satisfy the Need for Quality Practice
Routines for Achieving Improved Performance
Routines for Rehabilitating Number Pluckers, Pluggers, and Crunchers
Routines for Growth Mindset
Routines to Honor and Leverage Errors
Routines to Actively Develop Confidence
Implementing Jump-Start Routines
Routines that are Ready for Use
Flexible Use
Timing of Routines: How Long? When?
Which Routines to Use?
Plan for the Routine
Select the Routine
Routines Set the Stage for Meaningful Discourse
Practical Advice for Routines
Modify, Modify, Modify
Identifying or Creating the Content or Topics
Using Routines Formatively
Be Committed and Creative
Part II: The Routines
Picture It
Where’s the Point?
Is This the End?
That’s a Fact
Math Yapper
Broken Numbers
It’s About
The Best Tool
Relating Three
Two Columns
Numbered Star
Switcharoo
Express It
Relating Without Calculating
More or Less
Somewhere in Between
Patterns and Generalizations
If I know This
What It Takes to Make
Two Truths and a Lie
Part III: Where to Go Next
Make a Plan
Identify Content for Routines
Identify Routines
Determine the Rotation
Give It Time
Set Goals
Adjust to Their Adjustments
Further Modifying Routines
Design Your Own Routines
Work Collaboratively and Share the Load
Jumpstart Mathematics Engagement, Number Sense, and Reasoning
เกี่ยวกับผู้แต่ง
Dr. Eric Milou is a professor of mathematics at Rowan University in Glassboro, NJ. Dr. Milou has taught at Rowan for the past 20 years and served six terms as the President of the Rowan University Senate from 2007 to 2013. He previously served as President as the Association of Mathematics Teachers of New Jersey, the program chairperson of the 2007 NCTM annual meeting and has extensive speaking experience on standards based reform in mathematics. He is one of the authors of digits, En Visions 6-8 and En Visions A|G|A (published by Pearson) and was the recipient of the Max Sobel Outstanding Mathematics Educator Award in 2009.
หนังสืออิเล็กทรอนิกส์เพิ่มเติมจากผู้แต่งคนเดียวกัน / บรรณาธิการ
12,054 หนังสืออิเล็กทรอนิกส์ในหมวดหมู่นี้
