Mathematics Education Newsletter

October 2008

 

 mathematics education website

VIP Professor in Mathematics Education Spring 2009!

 The Education Department is thrilled to host this year's visiting international professor, Wolfram Meyerhöfer, whose focus is in mathematicsWolfram Meyerhöfer at a recent meeting in Germany education. Dr. Meyerhöfer is from Germany, and is currently at the Institut für Didaktik der Mathematik of the Alpen-Adria-Universität in Klagenfurt, Austria. Before moving recently to Klagenfurt, Dr. Meyerhöfer was a Guest Professor at the Freie Universität in Berlin, and was an elected representative working in government in Potsdam, Germany. This coming Spring, Dr. Meyerhöfer will be teaching a seminar for graduate students in mathematics education, a course in mathematics for undergraduates, and working with Arcadia students and faculty to further infuse a global perspective in our programs and ongoing projects. He will be visiting classes around campus to chat with students, and will be available as an additional resource for your work should you be interested in meeting with him.

 

Don't miss the opportunity to register for Dr. Meyerhöfer's Seminar for Mathematics Educators, ED 558B, which will focus on Dyscalculia and its problems as a lens through which to better understand making mathematics meaningful for all students.

 

Embracing Mathematics makes Debut!

Embracing Mathematics: On Becoming a Teacher and Changing with Mathematics (Routledge, 2008) is now available! See these links: google books; the publisher; amazon. This alternative textbook and teacher discussion book for all levels of mathematics education has been many years in the making, and most recent graduates of Arcadia programs have had a hand in its ongoing development, reading drafts of chapters, commenting, trying out the ideas, and contributing their own action research stories themselves. Arcadia mathematics educator authors in the book include Peter Appelbaum, David Scott Allen, Isaiah Manzella, Karen Cipriano, Ada Rocchi, Colleen Murphy, Kristen Iaccio, and Petal Sumner. David Kirchner of Louisiana State University wrote, "This book is likely to have a substantial impact on the landscape of pedagogical thinking. The pedagogy is a model for how to be engaged in life, in this sense presenting a personal vision that informs more than how to teach." Ole Skovsmose of Aalborg University in Denmark wrote, "Embracing Mathematics presents a wealth of educational ideas. It provides lenses for seeing classroom practice as open to fascinating changes. Emerging as a powerful collective achievement, it provides a dialogical opening of post-modern trends in critical mathematics education, sees as practice, research, and as learning for everybody."

 

Isaiah Manzella to Receive Alumni Teaching Award

Isaiah Manzella, 2003 graduate of Arcadia in Special Education, and teacher at Rancocas Valley Regional High School in New Jersey, is this year's recipient of the Arcadia Alumni Teaching Award. Over the past five years, Mr. Manzella has taught Resource Center Mathematics, Inclusion Mathematics, Alternative School Mathematics, and now in a self-contained classroom for students with behavioral disorders. He also coaches soccer, co-runs the EA Sports Video Game club, and the Skateboard Club. He recently wrote about his experiences with his students in putting numbers on trial to prove their value in the book Embracing Mathematics (see above). Isaiah will receive his award during the annual Induction Ceremony for new Education students at the Castle, 7:00 pm, Tuesday, October 14th.

 

Arcadia Mathematics Education Colloquia Hit the Spot!

These ever-popular evenings continue this year with three lively and applicable topics. Teachers can receive ACT 48 credit, or just come for the great presentation and discussion. They all take place in the Castle with coffee reception at 7:00 pm, presentation from 7:30-8:30, and questions and conversation from 8:30-9:00. Brings friends! Share rides and enjoy the company!

November 11th - Tuesday - Jacqueline Leonard, Temple University, speaking on: Dilemmas of Culturally Relevant Pedagogy. This presentation focuses on culturally relevant pedagogy and its nexus with student learning in K-12 classrooms. According to Gloria Ladson-Billings, culturally relevant pedagogy empowers both teachers and students to be self-directed and to take charge of their own learning by using circumstances that arise in the community as forms of official knowledge. Specifically, the presenter examines how two high school teachers enacted culturally relevant practices and how these practices influenced diverse students’ opportunities to learn mathematics. The presentation will focus on the complexities of implementing culturally relevant projects and some of the dilemmas that arose in the two teachers’ classrooms. Concerns about accountability influenced the teachers to attend more to mathematics content than meaning-making and cultural competence. The presentation will conclude with a discussion and suggestions about how to make mathematics lessons are more relevant to the lives of diverse students and how to motivate them to learn mathematics by making connections to social justice.

February 9th - Monday  - Gordon Williams, Ursinus College, speaking on: Breaking the Da Vinci Code.  Dan Brown's international best seller The Da Vinci Code has spawned an industry of conspiracy theories, historical television programming, and a movie. Hidden within this tale are some startling claims about the ancient Greeks, classical art and mathematics. In this talk we explore a wide range of the mathematically related claims made by the author and shed some light on those claims which are true, and those which are fiction.

February 19th - Thursday - Sorelle Friedler, University of Maryland, speaking on: How do Computers Solve Geometric Problems? Computational geometry is the study of computer methods to solve geometric problems and the study of geometric problems arising from computer applications. This presentation discusses some classic computational geometry problems, such as Voronoi diagrams and Delaunay triangulations, and ways they can be presented to high school students. These new geometric problems have many applications, from fire engine routes to video animation, and can be added to a high school geometry curriculum to motivate and challenge students.

For more info on the Arcadia Colloquium Series, including others that are equally fascinating beyond the three in mathematics and mathematics education, click here.

***Stay tuned as well for an announcement of our Visiting International Professor, Wolfram Meyerhöfer, who will be giving a special presentation on Thursday, February 5th, 3:30-6:00 ,in the Mirror and Rose Rooms.

 

Conferences not to be Missed!

As leaders in the mathematics education community, none of us should miss these upcoming conferences: The 57th Annual PCTM  (Pennsylvania Council of Teachers of Mathematics) Conference will be held in the Poconos at Split Rock Resort on November 5-7, 2008. For more info, click here. The 20th annual AMTNJ (Association of Mathematics Teachers of New Jersey) Conference will be held on October 22, 23, & 24, 2008 at the Crowne Plaza Hotel and Holiday Inn, Somerset, NJ. For more info, click here. Looking ahead, the NCTM (National Council of Teachers of Mathematics)  Annual Conference is again within driving distance this Spring, in Washington, D.C.; plan now! April 22-23, 2009; see www.nctm.org/meetings for more info.

 

SPRING 2009 COURSES IN MATHEMATICS EDUCATION 

CS201.1                  Problem-Solving with Algorithms/Programming I         4                      9:45 am                 10:50 am         MWF     Arras

CS201.2                  Problem-Solving with Algorithms/Programming I         3                      5:45 pm                 7:00 pm           TR           Staff

CS202.1                  Problem-Solving w/Algorithms & Program II      4                     1:30 pm                 2:35 pm           MWF     Jia             

CS202.2                  Problem-Solving w/Algorithms & Program II      3                     5:45 pm                 7:00 pm           MW        Staff        

CS203.1                  Data Structures and Algorithm Analysis               3                    5:45 pm                 7:00 pm           TR           Engel       

CS228G.1               Modern Program Language: SAS II                    3                    7:10 pm                 9:50 pm           W            Shilling    

CS306.1                  Building Web Applications                                  3                    7:10 pm                 9:50 pm             T            Engel       

CS317.1                  Algorithm Design                                                3                    7:10 pm                 9:50 pm           M            Jia             

CS358.1                  Operating Systems                                              3                    7:10 pm                 9:50 pm          W            Garvin     

MA322.1                Abstract Algebra I                                               4                    5:45 pm              7:25 pm           MW          Wolff       

MA331.1                Modern College Geometry                                   4                    6:00 pm               9:10 pm              R           Lee           

 MA342.1                   Mathematical Statistics I                                      4                     4:00 pm                5:40 pm           MW         Wolff

ED526A.1               Learning & Assessment in Elem Math                  3                   7:20 pm                10:00 pm              T        Acconciamessa

ED526A.2               Learning & Assessment in Elem Math                  3                   4:30 pm                7:10 pm                R        Allen

ED528A.1               Problem Solving/Problem Posing Workshop        3                   7:20 pm                10:00 pm              M       Dugan

ED529.1                 Mathematics & The Curriculum                            3                   4:30 pm                7:10 pm                R        Appelbaum

ED558B.1               Seminar for Mathematics Educators                     3                   4:30 pm                7:10 pm                W       Meyerhöfer

 ED565B.1                 Computers & Technology for Math Education        3                    4:30 pm                7:10 pm                T        Schwartz 

 Don’t forget the many other courses in education not specifically in mathematics that may be of interest! Check out the course offerings at the Arcadia website: http://www.arcadia.edu, or at “my arcadia”: http://my.arcadia.edu

These courses are open to students pursuing a degree or certification, and also to folks interested in just taking a course or two. Spread the word! Tell friends and family about the opportunities here at Arcadia.

 

Opportunities!

Target Field Trip Grants Program: Educators can choose their own field trip and use grant dollars to take learning outside the classroom. In 2009, target will award 5,000 field trip grants of up to $1000 each. This program is availabel to educators employed by K-12 schools that have a 501(c)(3) or 509(a)(1) tax exempt status. applications are available at www.target.com/teachers through November 1st. Grants are awarded in January, 2009.

 

Braitmeyer Foundation K-12 Grants. Proposals are due November 1-15. Thsi foundation is interested in K-12 education in the United States, with special interests in curricular and school reform initiative and preparation, as well as professional development opportunities for teachers. The foundation provides up to $10,000 for grants to be used anywhere in teh US as seed money, challenge grants, or to match other grants to the recipient organizations. For more info, see www.braitmeyerfoundation.org/guid.htm.

 

NCTM E-Workshops. The national council announced new on-line workshops for November. workshops will include both global content for teachers of all levels as well as break-out sessions to target issues and solutions specifically for elementary-middle school and middle-high school teachers. participants will complete a questionnaire before the workshop to identify key areas of interest. This feedback will allow the workshop to address the most critical content for participants.

 

 

Book Reviews

Following up on the well-received review of Rethinking Mathematics: Teaching Social Justice by the Numbers, by Patricia Marnien Tresnan, Mathematics Teacher, Jenkintown Schools, Arcadia MAEd 2003, we welcome reviews of materials and resources that you have found more or less valuable in your work. Please contact Peter if you would like to have your ideas included in future issues of this newsletter.

 

Possible books to consider reviewing:

D’Ambriosio, Ubiratan. 2001. Ethnomathematics: Link between traditiona and modernity. Rotterdam: Sense Publishers.

Gellert, Uwe, and Jablonks, Eva (eds). 2007. Mathematisation and demathematisation: Social, philosophical, and educational ramifications. Rotterdam: Sense Publishers.

Gutstein, Eric. 2006. Reading and writing the world with mathematics: Toward a pedagogy for social justice. NY: Routledge.

Nolan, Kathleen. 2007. How should I Know? Preservice Teachers’ Images of Knowing (by Heart) in Mathematics and Science. Rotterdam: Sense Publishers.

Skovsmose, Ole. 2005. Travelling through education; Uncertainty, mathematics, responsibility. Rotterdam: Sense Publishers.

Walshaw, Margaret (ed). 2004. Mathematics education within the postmodern. Charlotte, NC: Information Age Publishing.

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Mitch’s Corner

    Mitch's Corner is a regular feature of the Arcadia mathematics Education Newsletter, sharing samples of resources from Mitch Bernstein, a high school math in Philadelphia for 31 years.  Mitch taught both traditional math and the reform Interactive Mathematics Program.  He is now retired.  He is a co-author of Algebra 1:  An Integrated Approach.

Here is one of Mitch’s famous Problems of the Week:

 

Assume a cable was strung around the earth on poles at the equator. The cable is 50 feet longer than the circumference of the earth at the equator.
Could a man walk underneath the cable after it has been strung?

Explain your answer.

 

Mitch’s collected resources are  bound and available in the Landman Library Curriculum Materials collection. You may also pick up a free CD of the same resources from Peter Appelbaum in Taylor 312A.

 

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Your Advisor

Peter Appelbaum has official office hours Tuesday 3-5 and Wednesday 2-4, and is also available for appointments with graduate students on other days of the week.. Call or email because he will likely be in and out of the office most days. 215-572-4476 or appelbaum@arcadia.edu.

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Mitch’s Corner Solution

 

Yes!

Assume that the Circumference of the earth at the equator is C. Since C = 2π r , and r = the  radius of the earth.

To increase the circumference of the earth by 50 feet, the radius would have to increase also. Let  x = the increase in the radius of the earth.

 

Then 2π(r+x)=C+50 feet. By the distributive property, we get

2πr +2πx=C+50 feet. And since

2π r = C, then

 

x = 50 feet and

x  = 50/2π feet.

 

Using 3.14 for π,

x ~ 50/6.28

or, 7.96 feet.

 

This means that the cable is suspended approximately 8 feet above the ground and most  people could walk under it.