Desmos in Action

Exploring math in a visual, exciting way is much more intuitive and user friendly with the online graphing calculator Desmos. 

I encourage all teachers to explore the classroom activities.  My favorite is the marble slides. 

Growth Mindset for Math

After being introduced to open-ended questions in math about two years ago, I was sold on how powerful they can be in the classroom, but it can be difficult to create high quality questions.  Jo Boaler at Stanford has created an excellent site called "YouCubed" that has a wealth of activities for all ages that are engaging, open-ended, and for all levels.  

You can search activities and tasks on the site in many ways (grade level, topic, etc.), but I especially love going to Grade -> "Low floor, high ceiling" tasks.  These are perfect for engaging students of all levels in the same room.  Go ahead, explore, and try some new things in the classroom!

Zoom Classes at Southeastern Iowa Community College

I recently spent the afternoon learning from John Romeo at Southeastern about the ways he uses technology to teach math classes using Zoom and other tech tools.

John using classflow.com via Zoom and tablets

John is using a Promethean interactive whiteboard to project a math problem onto the board.  An alternative is to use a Mimio, which is less expensive, to make any whiteboard interactive.

A Mimio close-up

He has students come up to work the problem he is projecting while he is sending different math problems to students (who are located at multiple locations) via https://classflow.com/  The teacher needs a tablet, but students are able to respond with multiple types of devices.

Zoom view on John's interactive white board (Promethean)

The laptop that is capturing video and running Zoom

Arms-on with Metrics

In the constant search for activities to make math more engaging for adult learners, I came upon this simple science experiment from Midwestern State University (activity two in Metric Measurement and the Scientific Method)

I began with telling everyone that I had observed that most people have a wingspan that is the same as their height.  If that is true, then perhaps there exists a proportion of arm length to total height.  From the guide above, you propose arm length as 40% of total height.  Then students have to convert their height into inches, then centimeters.  I had them measure arm length (they had to define how they would measure this) in inches and then make the conversion to centimeters.  Finally, they had to determine the deviation and the percent from the expected 40% and then use mean to determine how they would refine the hypothesis after their observations.

I found this activity gave them hands-on, engaging ways to learn metric conversions with measurements that made sense to them, and they were able to use percents, find the mean and use scientific method with data about themselves.

The full lesson plan for those who are interested:  Measurement in the Metric System

The Magic Behind Flipping Numbers When Dividing Fractions

While many of you may know how to divide a fraction, how many of you understand why you use the steps that you do?  At the Adult Numeracy Institute they gave me an excellent explanation, so I turned that into a video that you can watch below.

Turn Fractions Into Visuals

Growing up I was taught math in the traditional way.  The teacher gave me some symbolic notation such as 1/2 * 1/4 and then gave me a step-by-step process to follow to the solve the problem, and then we moved on to the next thing with more notation and procedure.  At ANI they present how that should be just one of three approaches.  We need to add in visual models and real world situations and experiment with starting in one of those modes instead.

Attached is a worksheet "Operations with Fractions" that asks the student to make pictures out of fraction problems.  Take a look, give it a try and reflect on how it goes.

Get Inspired at Math = Love

Not having enough materials/resources is a common complaint among teachers.  I love following how a young teacher in rural Oklahoma, Sarah Hagan, is finding a way to thrive without using textbooks. Back in March NPR did a feature story about Sarah titled " The Teacher Who Believes Math = Love."

Since hearing that story, I have been a regular follower of her blog Math = Love.  If you ever need tips on how to make the classroom interactive or how to help students create their own textbooks, then look no further.  She updates her blog almost daily (where she finds the time, I have no idea) and she is truly passionate about her students and how she can help them learn.

Telling stories with data

I was lucky enough to spend two days doing math as if I were a student.  All of the teachers at the workshop were given some data that we care about -- HiSET testing data for all the states that use the HiSET test.

Our task was to tell a story.  Think about that.  We had pages and pages of numbers to look at and it all looked official and concrete and factual.  We had two stories to tell, actually.  The first was to use the data to say how Iowa was doing really well and deserved continued monetary support.  The other story we had to tell was how Iowa is actually struggling and needs money to help bring it up to par.  Below are a few examples of what we created and presented.

My group's effort.  On the left side we left out all the other states in-between to make it look like we were doing way better than everyone else.  On the right-side notice how we manipulated the size of the bars to make it seem like Iowa had a really tiny percent..

Infographics are a powerful way to present information.

Here they added a few sentences to make the story more explicit.

Always question the data!

Teachers can easily adapt this to their classrooms using data that their students care about.  

Match up Fractions on the Number Line

This week I'm spending two days in Des Moines for the Adult Numeracy Institute.  The focus is on number sense (fractions, decimals and percents) and Data, Statistics, and graphs.  I enjoyed the first warm-up activity that was a match up.  This activity could be tailored to any level of math learner.   The directions are as follows:

Beforehand, the facilitator creates pairs of cards with equivalent values (for example 1/4 and .25 would be paired cards or 1/8 on one card and a picture of 8 connected bars with one bar shaded in on its match).  You can make the task more difficult by using pairs of more complicated numbers or concepts such as having the golden ratio on one card and 1.61803398875 on another.

1. When you get to class, hand out one card to each student
2. Students then find the person in the room that has the equivalent card
3. Once they find their partner, they go to the board and place their cards on a number line
4. Facilitate a discussion about how they know the cards are equal
5. Since this activity has an anonymous factor it's safe to discuss whether cards are placed correctly and then move them if needed

Doing this activity gets students out of their seats and thinking.  They have to talk to each other to problem-solve what constitutes a match, and then they have to conceptually understand where the numbers belong on a number line, which prepares them for more advanced math down the road.  Any errors in mathematical thinking are quickly corrected in a safe environment.

When Khan and HISET meet. . .

While I have done similar projects to this one, on a more limited scale, it's nice to see HiSET do some of the heavy lifting.  Below you will find a new resource from HiSET copied from their website.

Khan Academy Math Videos
In collaboration with Khan Academy, the HiSET® program has identified videos and exercises that can assist you in preparing for the HiSET Math test. These training videos can improve the fundamental skills in Numbers and Operations, Geometry, Data Analysis and Algebra that you need to be successful on the HiSET Math test. See the Khan Academy Instructional Support Videos and Exercises (PDF) for more information.

Useful Math Links

Here are some links to math sites that I have found useful:

LINCS https://community.lincs.ed.gov/ An excellent resource for connecting with other Adult Education folks across the country and finding tons of resources.

PHET https://phet.colorado.edu/ Online simulations of math and science concepts.  These are very useful, engaging and fun.  The HTML5 ones work the best. 

Illuminations http://illuminations.nctm.org/Default.aspx  These are lessons, games, activities from the National Council of Teachers of Mathematics (NCTM)

TEAL https://teal.ed.gov/sites/default/files/Teal_Math_Works_Guide_508.pdf Math works guide from TEAL (Teaching Excellence in Adult Education).