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In the News: More on Algebra!


Here’s something we found online that seems like a good math resource for adult education practitioners:

Check out this article/lesson plan from Patrick Honner in the New York Times:
N Ways to Apply Algebra With The New York Times *

In this article/lesson plan, Patrick shares some real world applications of math that can be investigated using information in the New York Times (or many other newspapers), such as:

  • Mathematically Modeling Mortgages
  • Ranking and Evaluating Colleges
  • Calculating Car Costs
  • Algebra of the Election
  • Olympic Algebra
  • Solving for Stocks

All too often workbooks teach the algebra embedded in these examples with a “one-right-way” plug-it-into-the-formula process. The examples in this article foster a much more open ended, problem-solving approach to applying Algebra in real-world settings.

This approach fosters the development of algebraic thinking, not just the short-term ability to plug numbers into formulas.  As we stated previously:

Algebraic thinking involves recognizing and analyzing patterns, studying and representing relationships, making generalizations, and analyzing how things change. It is about making predictions based on patterns or relationships, making decisions, and solving real problems. It is about creating models based on phenomena that occur around usDonna Curry  (emphasis added)

What creative and innovative approaches have you used to teach these traditionally ‘formula-based’ algebra problems?  What other types of meaningful real-world applications have you used in teaching algebraic thinking?


*Part of The Learning Network: (Teaching and Learning with the New York Times)


Have you recently found something interesting ‘in the news’? If so – let us know at eff@utk.edu.

In the News: Combating the Negative Effects of Math Anxiety


Duren Thompson
EFFTIPS Editor/Admin

Here’s something we found online that seems like an interesting idea for adult education practitioners:

Today I ran across this from Science Daily:
Math Anxiety Causes Trouble for Students as Early as First Grade

…which brings together two articles co-written by researcher Sian L. Beilock from the University of Chicago (see references below). Beilock and his co-authors have been involved in research focused on causes and solutions for math anxiety in very young learners.  Aware that many adult learners describe or exhibit math anxieties (based on my own experiences and those related by adult education practitioners), I thought this information might be applicable to what we do.

One result of the research examined in this article1 is a better understanding of the relationship between working memory and math anxiety – in even the youngest learners. In the Science Daily article, Beilock is quoted as saying:

“You can think of working memory as a kind of ‘mental scratchpad’ that allows us to ‘work’ with whatever information is temporarily flowing through consciousness.  It’s especially important when we have to do a math problem and juggle numbers in our head.”

Worries about math can disrupt working memory, which students could otherwise use to succeed.”

This research goes on to posit that those with stronger working memory are likely to be more affected by math anxiety  (an interesting implication for those with learning disabilities in math), but Beilock also strongly cautions that:

“Educators should not only consider math learning in terms of concepts, procedures, math curricula and instruction but also the emotions and anxieties children may bring to the learning situation.”

We’ve touched on the importance of addressing math fears previously in a post where Donna Curry recommended that algebra fear can be combated by, “Activities based on real-life examples, solved with concrete tools like [play] money or other manipulatives…”  More ideas can be found in another article cited by Science Daily,2 in which authors Beilock and Maloney state, “… regulation of the negativity associated with math situations may increase math success, even for those individuals who are chronically math anxious.”

Two techniques for helping learners to regulate or ‘reframe’ math anxiety suggested by the authors are:

Expressive writing: Have students write about their worries regarding math ahead of time. This is believed to help students to, “…download worries and minimize anxiety’s effects on working memory.” For students with low writing ability (or very young students), “…expressive picture drawing, rather than writing, may also help lessen the burden of math anxiety.”

Support an emotional shift: Anxiety is a ‘heightened’ or aroused emotional state. Teachers can help students to shift their thinking to a more advantageous heightened emotional state like anticipation. For example, “…when students view a math test as a challenge rather than a threat,” their performance increases as their emotions are heightened (vs anxiety which reduces performance as it grows stronger).

What do you think? Is this information useful to you?  Please share your thoughts about math anxiety!

What are your experiences with students with math anxiety? Do you have other ways you help learners to reduce their fears?

Have you used either of these approaches with Adult Learners?  I’m wondering if expressive writing could also tie into strengthening writing fluency or confidence?

Have you recently found something interesting ‘in the news’? If so – let us know at eff@utk.edu.

mm


References:

1 Ramirez, G., Gunderson, E.A., Levine, S.C. and Beilock, S.L. (2012 in press) Math anxiety, working memory and math achievement in early elementary school. Journal of Cognition and Development.  Retrieved on 9/13/12 from http://home.uchicago.edu/ramirezg/RamirezG_MathAnxietyManuscript_workingdraft.doc
(Note, I had trouble downloading this – right clicking on the link and choosing ‘save target as’ worked for me.)

2 Maloney, E. A., & Beilock, S. L. (2012). Math anxiety: who has it, why it develops, and how to guard against it. Trends in Cognitive Sciences, 16(8), 404-406.  Retrieved on 9/13/12 from http://www.sciencedirect.com/science/article/pii/S1364661312001465