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Improving Math Success Through Feedback Strategies

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Other Writing Strategies

     There are many writing strategies that can aide students in gaining ownership of their learning.  The following list are my favorites for use in content classes.  They add depth in understanding of the content for the student, the opportunity for creativity and variety in class activities and insight into your students from a different perspective.

     Venn Diagrams; Compare and Contrast Essays

They are used to help the students compare and contrast:  the intersection of the circles is the qualities the two items have in common (hence comparison) and the remaining parts of the circles indicate the areas of contrast. 

     Journals

Similar to learning logs, journals are a place for students to share their thoughts with me and themselves in a private manner.  I use journals less frequently than learning logs as an opportunity for them to reflect affectively.  What’s working for them, what needs to be changed, where do they want to go and how will they get there are all topics for reflection.

     Short Stories

If a student can write a word problem for a given equation, he must truly understand the operations involved.  Writing the questions, rather than the answers, allows the students to be creative and find their personal voice in mathematics.  It still requires the skills of the concept, but goes beyond memorizing a rote process to demand understanding the very structure of the mathematics in the problem.  I’ve also had my students write analogy paragraphs in which they use one of the math concepts as an analogy of their lives. 

     Math Autobiographies

Many teachers ask their students to write their math autobiography near the beginning of the school year.  It provides a context for the grade history and gives insight into the student’s background.  Some students have been badly damaged in prior classes and come to us with huge baggage about math classes.  Autobiographies alert us to fears and expectations that may influence that student’s success in our class.

     Letters to a Young Child

When I think my students have mastered the jargon, but are missing the comprehension, I ask them to write a letter to a fourth grade sibling (neighbor) explaining the topic.  They are not allowed to use any of the vocabulary that I know, but must explain it in simple terms.  This eliminates the “But you know what I meant!” cries.  Corbin Brace had a wonderful modification on this approach by changing the young child to an alien who speaks English, but didn’t have any physics terminology in their Alien Guide to English dictionary.  If the student’s comprehension is deep enough to be synthesized and translated down to simple terms, then it has become their own.

     Letters to the teacher

This strategy allows the students to privately inform me of their reactions to a particular exam, topic or other assignment.  They ask the student to express his responsibility for improvement or ownership of accomplishments.  They inform me of concerns that need to be addressed or insights into the students and my teaching.

     Think, Pair, Share

The Think, Pair, Share strategy first gives a question to the class followed by time for individual reflection and/or writing in response to that prompt.  The teacher then asks the students to turn and share their responses with their partners.  Finally, to bring the class back together and to get a shared understanding of the concept, volunteers are asked to share out what their pair had discussed.

     Unit Summaries/ Reports

I was first introduced to the formal unit summary in a math class through the College Preparatory Math curricula.  At the end of every unit, the student creates a summary of the learning of the unit including main ideas, illustrated with examples, key terms and definitions, examples of their best work and a reflection on their experience with the unit.  The technique provides the students the opportunity to summarize their learning, synthesize and connect the key concepts and reflect on their growth as learners.

     Test Questions

Asking the students to create test questions provides many benefits.  They must first decide or be told the main ideas to be tested.  Secondly, they must have enough mastery of the concepts to know how and what to ask.  It provides great review questions and lastly, they get to put their personalities into the assignment, generally bringing lots of laughs.

     Double Entry Journals

There are almost as many note techniques as teachers.  One particularly intriguing idea is a double entry style used by Cornell Law School that has two columns, one for notes and one for questions to further pursue.  At the bottom of the page is a place to summarize the key concepts similar to the learning log. 

I will have my students read the section and take notes on it before they come to the class where it is presented.  I find this helps preset them to the information, frees me from dictating theorems and formulas and allows them to come with questions or confusions.  Writing the notes, listening to me talk about them and watching me apply them hits the three learning modalities:  kinesthetic, auditory and visual. 

Ø     Janet’s Note taking Method

After realizing that most of my students simply copied the “blue boxes,” I changed the format to summarize the information into sections for:  new terms, definitions, diagrams; formulas; properties; processes; and examples.  Asking them to analyze and synthesize takes them more time, but ensures they have read and thought about the section.

 

                               I.      New Terms/ Definitions/ Diagrams

                             II.      Formulas

                          III.      Properties

                          IV.      Processes

                             V.      Examples