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Angles of Reflection

Thoughts about mathematics, teaching, and teaching mathematics. Thursday, March 12, 2015. What Happens in a Math Class? I was observing a first grade mathematics lesson last week and students were learning about how to use “near doubles.”. I walked around and observed that virtually all students got the correct answers to the addition problem. I also observed that many were doing it backwards, they were writing down the sum and then the doubles fact that would help them get that sum. This explains someth...

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Angles of Reflection | anglesofreflection.blogspot.com Reviews
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Thoughts about mathematics, teaching, and teaching mathematics. Thursday, March 12, 2015. What Happens in a Math Class? I was observing a first grade mathematics lesson last week and students were learning about how to use “near doubles.”. I walked around and observed that virtually all students got the correct answers to the addition problem. I also observed that many were doing it backwards, they were writing down the sum and then the doubles fact that would help them get that sum. This explains someth...
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Angles of Reflection | anglesofreflection.blogspot.com Reviews

https://anglesofreflection.blogspot.com

Thoughts about mathematics, teaching, and teaching mathematics. Thursday, March 12, 2015. What Happens in a Math Class? I was observing a first grade mathematics lesson last week and students were learning about how to use “near doubles.”. I walked around and observed that virtually all students got the correct answers to the addition problem. I also observed that many were doing it backwards, they were writing down the sum and then the doubles fact that would help them get that sum. This explains someth...

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anglesofreflection.blogspot.com anglesofreflection.blogspot.com
1

Angles of Reflection: February 2014

http://www.anglesofreflection.blogspot.com/2014_02_01_archive.html

Thoughts about mathematics, teaching, and teaching mathematics. Saturday, February 22, 2014. Bayes's Theorem and Hiring Your Way To Great Teachers. Bayes's theorem has wide applications in statistical inference, but today we're going to talk about one that's of crucial concern to anyone trying to improve teaching in a particular school: hiring teachers. Suppose that your interview protocol allows you to identify satisfactory-or-better teachers with 80% accuracy (if you have such a protocol, tell me!

2

Angles of Reflection: February 2015

http://www.anglesofreflection.blogspot.com/2015_02_01_archive.html

Thoughts about mathematics, teaching, and teaching mathematics. Tuesday, February 10, 2015. Thoughts on Formative Assessment. It has been many months since I have written something here. I am no longer in the classroom observing and noticing and so am not sure I have things to contribute I haven't already written. Last week I observed some classes and I noticed something, something I think is worth sharing. The teacher posed the following question:"If fish E ate fish B, how much would fish E weigh? They ...

3

Angles of Reflection: What Happens in a Math Class?

http://www.anglesofreflection.blogspot.com/2015/03/what-happens-in-math-class.html

Thoughts about mathematics, teaching, and teaching mathematics. Thursday, March 12, 2015. What Happens in a Math Class? I was observing a first grade mathematics lesson last week and students were learning about how to use “near doubles.”. I walked around and observed that virtually all students got the correct answers to the addition problem. I also observed that many were doing it backwards, they were writing down the sum and then the doubles fact that would help them get that sum. This explains someth...

4

Angles of Reflection: The Way, Way Back

http://www.anglesofreflection.blogspot.com/2014/06/the-way-way-back.html

Thoughts about mathematics, teaching, and teaching mathematics. Monday, June 16, 2014. The Way, Way Back. As we wind up this year, I've been thinking about last summer's awesome movie The Way, Way Back. Subscribe to: Post Comments (Atom). The Math Forum's Internet Newsletter. The Golden Apple Blog. And Functions, Statistics, and Trigonometry. The Way, Way Back. Cutoffs, and the last week of classes. Awesome Inc. template. Powered by Blogger.

5

Angles of Reflection: June 2014

http://www.anglesofreflection.blogspot.com/2014_06_01_archive.html

Thoughts about mathematics, teaching, and teaching mathematics. Monday, June 23, 2014. As my ITRW friends know, I'm in my second "semester" of a graduate program, which means that I'm buying textbooks, frantically getting readings done . and taking tests. Last week was a doozy: I had two weeks, and a maximum of two weeks, to pass the statewide online test certifying me as a "teacher-evaluator". What did I learn from this process? And how many times do we. Third, we didn't have. Even with everyone I know ...

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Algebra, Essentially: Reflections and Transformations

http://coremath912.blogspot.com/2012/08/reflections-and-transformations.html

Sunday, August 26, 2012. In my town, school starts this week. My children have new backpacks and lunchboxes and shiny pencil cases with 5 newly sharpened pencils in each. The New Blogger Initiative. Is filled with stories of first day jitters and school year goals. This is a hard time for me. But working towards it. By offering some of these things for sale. I know the mathtwitterblogosphere is a sharing culture. I have lots to share, but I have mixed emotions about sharing everything. So in the meantime...

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Elaine | WatsonMath.com

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As a K-12 Math Consultant, this site is where I post ideas to support the teaching of mathematics. About this Site and Elaine Watson Mathematics Consulting. Here’s the Answer. What’s the Question? March 5, 2015. Fawn Nguyen, in her blog Finding Ways, posted a problem that she found in Don Steward’s blog. Both Fawn’s and Don’s blogs are way at the top of my go-to sites when I am looking for something creative to use … Continue reading →. Jo Boaler: Fluency Without Fear. February 7, 2015. February 6, 2015.

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Here’s the Answer. What’s the Question? | WatsonMath.com

http://www.watsonmath.com/2015/03/05/heres-the-answer-whats-the-question

As a K-12 Math Consultant, this site is where I post ideas to support the teaching of mathematics. About this Site and Elaine Watson Mathematics Consulting. Jo Boaler: Fluency Without Fear. Here’s the Answer. What’s the Question? March 5, 2015. Fawn Nguyen, in her blog Finding Ways. Posted a problem that she found in Don Steward’s. If units are attached, 24000 g /150 g results in a naked number, 160, that is not grams. What unit is attached to the 160? If we are more specific with our units and write.

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Uncategorized | WatsonMath.com

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As a K-12 Math Consultant, this site is where I post ideas to support the teaching of mathematics. About this Site and Elaine Watson Mathematics Consulting. Here’s the Answer. What’s the Question? March 5, 2015. Fawn Nguyen, in her blog Finding Ways, posted a problem that she found in Don Steward’s blog. Both Fawn’s and Don’s blogs are way at the top of my go-to sites when I am looking for something creative to use … Continue reading →. Jo Boaler: Fluency Without Fear. February 7, 2015. February 6, 2015.

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Tracy Zager shares a problem accessible to many levels of learners | WatsonMath.com

http://www.watsonmath.com/2015/02/02/tracy-zager-shares-a-problem-accessible-to-many-levels-of-learners

As a K-12 Math Consultant, this site is where I post ideas to support the teaching of mathematics. About this Site and Elaine Watson Mathematics Consulting. A real life geometry problem proposed by Howard Phillips. SBAC Practice Problems Make it Clear that the Bar is Rising →. Tracy Zager shares a problem accessible to many levels of learners. February 2, 2015. Tracy Zager, in her blog Becoming the Math Teacher You’d Wish You Had. 8221; I simply counted the squares to notice that the top line had a slope...

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Open Middle: Open-Ended Problems for K – 12 | WatsonMath.com

http://www.watsonmath.com/2015/02/06/open-middle-open-ended-problems-for-k-12

As a K-12 Math Consultant, this site is where I post ideas to support the teaching of mathematics. About this Site and Elaine Watson Mathematics Consulting. SBAC Practice Problems Make it Clear that the Bar is Rising. Jo Boaler: Fluency Without Fear →. Open Middle: Open-Ended Problems for K – 12. February 6, 2015. Nannette Johnson, Robert Kaplinsky, and Bryan Anderson have joined forces to create the site Open Middle. Below is their blurb:. Some additional characteristics of open middle problems include:.

coremath912.blogspot.com coremath912.blogspot.com

Algebra, Essentially: Good Math Teachers Are Alive and Well!

http://coremath912.blogspot.com/2011/09/good-math-teachers-are-alive-and-well.html

Monday, September 26, 2011. Good Math Teachers Are Alive and Well! My first thought is to start with big ideas and see where that goes. The Understanding by Design ( UbD. Framework calls these big ideas “Essential Questions.” A google search of ‘essential questions in math’ led me to a list of 150 essential questions in math. I can rattle the answer off in a couple of sentences. I don’t care. How about a list of questions that is intriguing to me AND to a typical high school kid? Posted by Emily Allman.

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SBAC Practice Problems Make it Clear that the Bar is Rising | WatsonMath.com

http://www.watsonmath.com/2015/02/04/sbac-practice-problems-make-it-clear-that-the-bar-is-rising

As a K-12 Math Consultant, this site is where I post ideas to support the teaching of mathematics. About this Site and Elaine Watson Mathematics Consulting. Tracy Zager shares a problem accessible to many levels of learners. Open Middle: Open-Ended Problems for K – 12 →. SBAC Practice Problems Make it Clear that the Bar is Rising. February 4, 2015. 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively. 4 Model with mathematics. 5 Use appropriate tools strategically.

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Algebra, Essentially: For Free or Not for Free?

http://coremath912.blogspot.com/2012/02/for-free-or-not-for-free.html

Thursday, February 9, 2012. For Free or Not for Free? For free or not for free: that is the question;. Whether 'tis nobler in the mind to covet. The wealth and fame of outrageous fortunes,. Or to take arms against the seas of ignorance,. And by benevolence, end them? To donate: to cede;. Honestly, I can see both sides:. Offering original resources on a fee. And you must be thinking, "Who has this kind of time? And in the spirit of sharing, I'd like to open a forum for you and I to share some original.

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Next Top Model: Quadratics in all their Glory – Teaching Expedition

https://robdeabreu.com/2014/11/11/next-top-model-quadratics-in-all-their-glory

Exploring Pedagogy in the Mathematics Classroom. November 11, 2014. Next Top Model: Quadratics in all their Glory. I’m currently refining a unit of study about quadratic functions that was co-developed last year with Kristina Sharma. With the help of Will Percy. Fame Students then imported the image into GeoGebra, and used this program to help them model the path of the ball through the air with a quadratic function. A la panxa del bou…. ELLs), I am keen this time around to provide them with more support...

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Angles of Reflection

Thoughts about mathematics, teaching, and teaching mathematics. Thursday, March 12, 2015. What Happens in a Math Class? I was observing a first grade mathematics lesson last week and students were learning about how to use “near doubles.”. I walked around and observed that virtually all students got the correct answers to the addition problem. I also observed that many were doing it backwards, they were writing down the sum and then the doubles fact that would help them get that sum. This explains someth...

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