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Middle School Statistics

Even Great Presentations Have Their Moments….

Recently, I attended a talk where the circle graph below was used to help emphasize the many online tools our students utilize.  To be fair, the presentation was otherwise fantastic, but sometimes my stats-abuse-radar is on full alert.  Use it as an opener for class discussion, and see if your students notice the inherent problem with this graph:

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Some questions for a class discussion:

  • Does this graph portray the data accurately?
  • Is a circle graph appropriate here? Why or why not?
  • How can we re-display the same information effectively using a new circle grpah, or a different type of graph?

In moments like this, sometimes it is best to draw energy from inspirational quotes.  I leave you with this, from the Simpsons:

Hypnotist: You are all very good players
Team: We are all very good players.
Hypnotist: You will beat Shelbyville.
Team: We will beat Shelbyville.
Hypnotist: You will give 110 percent.
Team: That’s impossible no one can give more than 100 percent. By definition that’s the most any one can give.
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Uncategorized

ASCD 2012 – Monday

Monday has arrived. Many more bodies on the train today. My day started with a realization that I left my conference badge on my dining room table. But thanks to the badge recycle bins scattered throughout the convention center, I will survive the day.

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Many thanks to Amy from Virginia for being green.

Developing Social Media Policies for Schools. Facilitated by Steve Anderson and Sam Walker

If you wouldn’t say it to your momma standing on a table in the middle of a mall, don’t say it online.

Biggest concerns for social media in schools reported by the group were cyber bullying and inappropriate relations by both students and staff.  But the number of kids online and the number of messages sent continues to increase.  Over 73% of teens participate in social networks, yet we close the door on them when they come to school.  And it is starting earlier….Club Penguin is the largest social media site for younger kids.

Do went want kids collaborating, sharing, connecting?  Of course, but we need to train teachers to facilitate differently.  The use of social media tools means that students can learn at different rates, at the times they choose.  One of Steve’s colleagues does a social media project where students choose what they would like to learn and report out on it.  We need to raise a generation of kids who are comfortable with collaborating, and they are doing it already on their own.  How do we facilitate that in schools?  Many schools want to embrace social media, but under rules they define.

As part of an improvement plan, Steve and Sam’s district developed a goal for social media which includes students, parents and educators.  They have also embraced problem-based learning to allow students to explore ideas.  In one interesting project given to third graders, the challenge was to develop a list of Internet usage rules, which would then be presented to parents.  Their district does not have a social media policy for teachers, except to say that teachers are “strongly discouraged” from contacting students after-hours via social media, and that teachers are expected to follow the same general ethical standards policies of all employees.

I appreciate Steve’s message: “Why continue to put in place restrictive policies that handcuff the ability of educators to do their jobs?”.  We need to embrace the possibilities and the wealth of collaboration which social media provide.

Check out the presentation, and more from Steve’s blog: Blogging About the Web 2.0 Connected Classroom

You can follow Steve on twitter @web20classroom, where he frequently posts ideas and articles.

Developing a Framework for Science and Math Instructional Coaching

Given that this is my first year as a math instructional coach, I am eager to absorb ideas for maximizing my effect as a coach.  The team of 4 today I heard speak are from the Chicago area, largely DePaul University.

The team has developed a concerns-based adoption model (CBAM) which helps facilitate change in the questions teachers ask, and identifies ways to assess 7 stages of concern, based on the adoption model from Hall and Hord in “Change in Schools, Facilitating the Process”.  The model measures teacher progress from the awareness / informational level, and moves them towards management and collaboration.  Charlotte Danielson’s Framework for Teaching was also incorporated into the model to identify and measure teacher proficiency in the implementation of curriculum.  The team has identified components of successful science and math classrooms, and developed rubrics which incorporate the Danielson models for basic / proficient / distinguished practice.

I appreciated a comment from one of the moderators, who noted that we need to differentiate for teachers in the same manner we need to differentiate teaching strategies with our students.  A needs inventory is utilized in Chicago in order to identify needs on both the teacher and coach end, and have teachers reflect upon their classroom practice.  For example, the question “how confident do you feel pushing student thinking through the use of questioning and wait time” may open a door for a teacher to seek help with a coach, but may also cause a teacher to honestly evaluate and reflect upon their current classroom practice even if coaching is not utilized.

In order to facilitate effective lesson planning, the team developed a checklist for orchestrating productive math discussions: anticipate – monitor – select – sequence – make connections.  The coaches then address proficiency and misconceptions in each area through pre-conference planning and post-lesson reflection.

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Technology Uncategorized

ASCD 2012 – Sunday

2nd day of the ASCD Conference in Philly.  Today I focused mostly on best practices sessions in math.

Enhancing Concept Development and Vocabulary Proficiency in Math Classrooms, facilitated by Dr. Donna Knoell

Across the board, a focus on vocabulary increases  student proficiency rates, yet we focus little on vocab in math classrooms.  Students need to have 8 to 10 meaningful exposures to vocab before students can apply in context.  For ESL learners, the number is 12 to 15.  We want students to be able to communicate their reasoning.

For example, in elementary school, students are often taught to fold paper “hot dog style and “hamburger style”.  But this short-cut has eliminated an opportunity to discuss and reinforce horizontal and vertical as necessary vocabulary.  The human mind innately seeks meaning.  We are often in such a hurry to move on, that we often forget to provide time to think about what our students have learned.  Talking math helps us cement our understanding of math ideas.  Challenge our students to defend ideas by utilizing math vocab appropriately.

Students can personalize their experience with math vocab words by maintaining a journal of new words, with definitions, picture and contextual sentences.  This caused me to reflect upon conversations I have with teachers at my high school, where teachers become frustrated by problems involving angles of elevation or depression, bearing, or the similar terms root, intercept and zero. As we expect our students to become more adept with communication, justification, and application, helping students develop an appropriate vocabulary toolbox becomes of greater importance.

Beyond the Textbook: Math Activities to Stretch Your Students Thinking, facilitated by Dan Rosenberg

A variety of games for grades 1-8, gathered via the “CASE method (copy and steal everything)”:

Battleship: students write an algebra equation in each position to represent “hits”.  To earn the cell, students must solve the problem correctly.

Dots: play the connect the dots and square capture game, but place integer values in the cells, which become point values as squares are captured.

One game I have used in class at the start of probability units is the “card prediction game”. Start by dealing out 10 cards face up.  Students can then predict what the next card (suit and rank) will be.  Points are earned by correctly predicting characteristics of the next card:

  • If the card they predict is the same color as the next card drawn, they earn 1 point
  • If the card they predict is the same suit as the next card drawn, they earn 3 points
  • It the card they predict is the same rank (i.e. king) as the next card, they earn 5 points
  • If the card they predict is the exact card drawn, they earn 10 points.

Play the game for 10 rounds and total your score.  It’s a nice game for discussing the vocabulary of suits, face cards, and values, along with the conditional probability of events, given past information.

Dan also presented some nice hooks for class, such as one involving a “proof” that the angles in a triangle sum to 180 degrees.  Have all students cut a large triangle from a piece of paper.  Mark each of the 3 angles. Then cut the large triangle into 3 small triangles.  The 3 marked angles can then be arranged to share a vertex, adjacent to one another, and will form a linear trio.

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The math games presented me remind me to do a blog post about the long-running BBC tv gameshow “Countdown”, where a numbers game is played.  Google the show on your own, or wait for my post about it next month.

Google vendor presentation

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Today I also participated in a presentation by reps from Google, where a number of tools were presented, which work with their Google docs.  Flubaroo is an extension which teachers can use to quickly grade responses students submit via a Google doc.  The extension will grade the assignment, then e-mail students with a detailed report of their progress.

Mail map merge will allow you to create a distribution list, and include a map to an invited location.  Pretty snazzy!