Your Challenge & Initial Thoughts

Start Your Brainstorming!

Click on the person reading to make your own copy of the Reflection and Activity Journal you will complete while completing this PLM.

You can add as much as you want and can save/print your thoughts. Remember to keep this file open while completing this PLM.

As you progress through the eight modules, you'll add more to your Reflection and Activity Journal but THIS will be the only link to your own copy.



Your Challenge

When you teach math do you get butterflies in your stomach? Do you lack concentration? Are you worried that your answer will be wrong? Do your students hate math? Do your students remember concepts? Are you teaching tricks? Click the guy at the crossroads to watch the video on math anxiety.

Academic anxiety happens more frequently in math because the stakes are higher. Math anxious people feel that they are bad a math and can not solve a math problem. When people become math anxious there is a decrease in the working memory (Ashcraft & Moore, 2009) Teachers can easily influence a students perception of math. Math anxious teachers often times teach through the process without helping student develop understanding or resort to quick tricks that do not lead to mastery or understanding (Beilock et al., 2009; Ramirez et al., 2018).

Math anxious people can develop a growth mindset by implementing strategies and seeking to conceptual understanding (Tobias, 1993). Math anxious teachers can help students understand math conceptually through creative, engaging activities (Boaler, 2016). Click the guy at the crossroads to learn more about Math Anxiety.

Continue to learn more about how to conceptualize your lessons to reduce math anxiousness in yourself and your students.

Math Anxiety

https://youtu.be/7snnRaC4t5c

This video discusses math anxiety and suggests some strategies to alleviate math anxiety.

When French mathematician Laurent Schwartz was in high school, he started to worry that he wasn't smart enough to solve math problems. Maybe you know a similar feeling. You sit down to take a math test, and you feel your heart beat faster and your palms start to sweat. You get butterflies in your stomach, and you can't concentrate. This phenomenon is called math anxiety, and if it happens to you, you're not alone. Researchers think about 20% of the population suffers from it. Some psychologists even consider it a diagnosable condition. But having mathematical anxiety doesn't necessarily mean you're bad at math -

not even close. Laurent Schwartz went on to win the Fields Medal, the highest award in mathematics.

People might think that they're anxious about math because they're bad at it, but it's often the other way around. They're doing poorly in math because they're anxious about it.

Some psychologists think that's because math anxiety decreases a cognitive resource called working memory. That's the short-term memory system that helps you organize the information you need to complete a task. Worrying about being able to solve math problems, or not doing well on a test, eats up working memory, leaving less of it available to tackle the math itself. People can suddenly struggle with even basic math skills, like arithmetic, that they've otherwise mastered. Academic anxiety certainly isn't limited to math, but it does seem to happen much more frequently, and cause more harm in that subject. So why would that be? Researchers aren't yet sure, but some studies suggest that the way children are exposed to math by their parents and teachers play a large part. If parents talk about math like something challenging and unfamiliar, children can internalize that.

Teachers with math anxiety are also likely to spread it to their students. Pressure to solve problems quickly dials up stress even more. And in some cultures, being good at math is a sign of being smart in general.

When the stakes are that high, it's not surprising that students are anxious. Even Maryam Mirzakhani, an influential mathematician who was the first woman to win the Fields Medal, felt unconfident and lost interest in mathematics because her math teacher in middle school didn't think she was talented.

So if you experience mathematical anxiety, what can you do? Relaxation techniques, like short breathing exercises, have improved test performance in students with math anxiety. Writing down your worries can also help. This strategy may give you a chance to reevaluate a stressful experience, freeing up working memory. And if you have the chance, physical activity, like a brisk walk, deepens breathing and helps relieve muscle tension, preventing anxiety from building. You can also use your knowledge about the brain

to change your mindset.

The brain is flexible, and the areas involved in math skills can always grow and develop. This is a psychological principle called the growth mindset. Thinking of yourself as someone who can grow and improve can actually help you grow and improve.

If you're a teacher or parent of young children, try being playful with math and focusing on the creative aspects. That can build the numerical skills that help students approach math with confidence later on.

Importantly, you should give children the time and space to work through their answers.

And if you're an administrator, make sure your teachers have the positive attitudes and mathematical confidence necessary to inspire confidence in all of their students. Also, don't let anyone spread the myth

that boys are innately better than girls at math. That is completely false.

If you experience math anxiety, it may not help to just know that math anxiety exists. Or perhaps it's reassuring to put a name to the problem. Regardless, if you take a look around yourself, the odds are good that you'll see someone experiencing the same thing as you. Just remember that the anxiety is not a reflection of your ability, but it is something you can conquer with time and awareness.


Initial Thoughts: What to do?

Click the guy with the question mark to watch the video of a teacher teaching long division in polynomials. As you are watching the video think about the initial thought questions posed below (drop down text). Add these thoughts to your Reflection and Activity Journal linked under Brainstorming.

Once you've viewed the Challenge material:

  • How is the teacher influencing his students?

  • How would you define math proficiency for this task?

  • Do you feel the teacher is going through the process without explanation? Is there conceptual learning taking place?

  • If you were the teacher how would you create rigor?

  • How does your understanding of the content standards vertical progression affect your instruction? Can you detail the vertical progression for this lesson?

Add these thoughts to your Reflection and Activity Journal linked under Brainstorming.

Boring Math Lesson, Division of Polynomials

“The most boring video you will ever see on Youtube.”

https://youtu.be/wmRJPUWq5m4

Teacher speaking to the class at the whiteboard: Speaks to the – 76. Now is this in descending order. On descending order, we said the goal is to the goal when you are dividing a polynomial by polynomial using long division, the goal is to get keep or everything. The point is to get rid of this first. So that when I multiply by 3 X it gives me positive 6x 2 times 3. Subtraction is the form of a sign of the design is positive. Yes, people have to make it positive. See what happen here. Now we'll repeat the same process again, all over. Again my goal is to get rid of this, to get rid of negative 3x squared. What should I do here like this it gives

me negative x squared? Division is repeated subtraction what is a

form of addition, to change it to addition, but because you have to change the sign

negative 3x plus 3h. Again last step. We’ll repeat the same process again. My goal is to get rid of these - ignore this for a moment - get rid of twenties twelve . What should I put here, so that when I want apply by 3x it gives me 12 eggs.

English (auto-generated)

Permission to use this video was requested via original poster. This video is public domain, originally published in 2012, and assumed to be accessible by the public.

Now click on "Go to Learning Perspectives and Resources" to start

learning how to conceptualize math for the math anxious teacher!

Terms of Use: The learning cycle featured in this project is based on the STAR Legacy Cycle developed by the IRIS Centre (2013; https://iris.peabody.vanderbilt.edu/) and based on the work of Dr. John Branford and colleagues (National Research Council, 2000).