Showing posts with label Math Instruction. Show all posts
Showing posts with label Math Instruction. Show all posts

Tuesday, January 31, 2017

Day 92 - Two-Column Notes in Math - Ms. Mantia and Mrs. MacCurtain - MSMS Math

This post first appeared on our Burlington Keys to Literacy Blog

In our math classes we use two-column notes for three different purposes. The first, and the one we use most often, is two-column notes “101.”  We, the teachers, give the notes to the students for them to copy down in their math notebooks.  The notes are either a mathematical process that they need to know, for example, how to compare and order decimals or how to graph the slope of a line.  Or the notes are for math vocabulary that the students need to know in order to perform the process they are learning. Here are a couple of examples.
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Two-column notes can also serve as a study guide for a quiz or test.  We begin the lesson by brainstorming the main topics from the chapter as a class and writing the topics on the board.  Students then work with partners to write the 2-column notes.  Partners write the main ideas from the class brainstorm in the left column and work together to generate appropriate details for the right column.  In math, these details may include rules, steps, and sample problems for each topic.  At the end of the lesson, we discuss the student-generated 2-column notes as a class.  We remind students to check their own notes and make additions and changes as needed based on class discussion. Here is an example of this.
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The third way students generate two column-notes is as part of a homework assignment.  We would assign “Read Chapter 3 Unit 1 and write 2-column notes for the main topics.”  We had mixed results the first time we did this.  Some of the notes were exemplary and even color-coded; others were too detailed; others were a total of four lines long.  One of the students asked, “Will you please show us how you would do this before you assign this again?”  This sounded like a valid request.  Rather than wait until next time, we read the section aloud with the students and did a think-aloud of how we would generate the notes based on my reading.  We discussed what would serve as clues for main topics and students suggested “the bold vocab words,” “the headings on the pages,” “the parts labeled Example.”  Sometimes other students would guide the answers and sometimes we would.  Specifically, students agreed that bold vocab words as main topics were a good idea and “the parts labeled Example” were probably better served in the details section of the notes. Here is an example.
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Overall, we have had great success using two-column notes in our math classes.  As you can see, we use them for different purposes but each method (note taking, vocabulary, study guide, homework) is beneficial in its own way.  Two-column notes have helped our students with organization, remembering material and gaining a deeper understanding of mathematics.  

Tuesday, November 15, 2016

Day 47 - Algebraic Equations and Cup Stacking - Mrs. Tate - MSMS Math


This week students did some quick review with the distance formula and calculating simple unit rates.  We also began translating sentences into algebraic expressions and equations.   Students learned how to look for keywords to find out what operation to use within their mathematical sentences.  Here are some pictures of the students cup-stacking and their work to solve the one step algebraic equation they had to translate. 

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Tuesday, March 15, 2016

Day 118 - Fraction Flags - Mrs. Cunha - Pine Glen Grade 2


I asked my students to create a Pine Glen flag using fractions.  They also had to assign meaning to the flag and how why it should be Pine Glen's flag.  Below are some examples from Althea, Gabby and Rebecca.  Mr. Lyons was very impressed with our higher order application in math today.


Althea's flag design and reason



Rebecca's design and reason

Gabby's design and reason

Friday, November 21, 2014

Day 55 - Why Is Math Different Now? - Carrie Fortunato - BPS Math Coach

Our district math coach, Carrie Fortunato, shared this video which was created by Dr. Raj Shah of Math Plus Academy.  The video was created as an explanation for parents in regards to why math has changed so much since they were in school.

The bulleted points below highlight some of the key takeaways from the video.

  • The biggest question for parents: Why are they teaching math so differently now than they did when we were growing up? 
  •  We have decades of research that show that teaching people to memorize algorithms and execute procedures hasn't work for the majority of learners.
  • With the technology available to people, being able to execute an algorithm in arithmetic to get an answer is a fairly useless skill.
  • We need to teach kids to think and understand and use different strategies to solve problems.
  • Research shows that when you give people a conceptual understanding of what's going on then it helps them understand concepts.
  • Executing algorithms can be kinds of boring, but learning how to solve problems can be fun!