Showing posts with label Are these textbooks?. Show all posts
Showing posts with label Are these textbooks?. Show all posts

Sunday, May 27, 2012

characteristics of textbooks

Peter, Kathy, & Wes:
1. Textbooks versus reference books
2. Textbooks can be collaboration between artist and teacher who collects a number of works that are compiled and put together into a textbook for the course.
3. Needs a pedagogical aim.
PROPOSED DEFINITION: collaboration between artists and a teacher. The teacher might be the one to insert the pedagogical aim.Typically, though, the author(s) assign the pedagogical aim.
Textbooks might tend toward de-skilling if they are comprehensive in designing the text for a particular aim.

Addressivity (Joan, Barbara, Lucie ):
1. Books with rich mathematical content could be made into a text if ... 
2. Just as one can disrupt the canonical text, that becomes a different invitation.
3. Author's intention for a canonical textbook:
  a. make money
  b. share their ideas about explaining, helping people learn, that they believe would benefit teachers and students

POWER OF GENRE: takes on cultural life of its own, molds peoples' intentions to conform to the needs of the genre. However a textbook writes in the textbook genre, pushing the boundaries, etc., the genre itself has a formatting power, the intentions encoded in the genre in a way take over and overpower the authors' intentions.

Textbooks are simultaneously constraining & enabling for teachers.

Sunday, May 20, 2012

Online mathematics learning links


Some Pinterest Boards:
Mathematics
Algebra
Word Problems

Kahn Academy  


Vi Hart Math Doodling  
More Vi Hart

Penn & Teller Draw a Really Long Line

Allen Knutson, Cornell professor of mathematics and former world record-holding juggler, mathematics of siteswaps


Robert Ash, Professor Emeritus, Univ. of Illinois, has eight textbooks online

Author Paul Chika Emekwulu (The Dreaming Mathematician)'s Blogs are found at the bottom of his Linked-in Page


NCTM Illuminations website.

Henrico County, VA Algebra 2 Online

Calculus I in 20 minutes (video)

Friday, May 18, 2012

Reissued by NCTM in 1995
Harold Fawcett's The Nature of Proof and its legacy...
(Students here are creating their own textbook  - as the ostensible main project of the classroom curriculum.)

The original book: http://www.eric.ed.gov/PDFS/ED096174.pdf

A comment: http://www.cut-the-knot.org/ctk/NatureOfProof.shtml






A review of it: http://www.jstor.org/discover/10.2307/3028523?uid=3739864&uid=2129&uid=2&uid=70&uid=4&uid=3739256&sid=21100811633841
In today's classroom - one view: http://www.math.umt.edu/tmme/vol1no2/TMMEv1n2brev2.pdf

Joe Bellacero & Tome Murray, "Students write tabloid tabulations in math gossip magazine" (national writing project)

Alternatives to a "traditional" textbook genre? Story-telling didactic "texts"






Number Stories and Storytelling

David Eugene Smith's Number Stories of Long Ago (1919)
Hans Magnus Enzensburger's Number Devil
Freudenthal Institute and story paths: http://www.nap.edu/openbook.php?record_id=12519&page=175

Ron Eglash's page on African Fractals

Puzzles and "recreational mathematics"

Sam Loyd's Cycopedia of Puzzles
David Suzuki's video tribute to Martin Gardiner
Toshikazu Kawasaki's Roses, Origami & Math

 "Coloring Books" that foster investigations: 

Excerpt from Herb Kohl & Winky Adam, Insides, Outsides, Loops and Lines
click for excerpt

Literature as Classroom text(book)?

Pat Hutchins, Clocks and More Clocks
Anno's Mysterious Multiplying Jar
Anno's Magic Seeds
Rod Clement's Counting on Frank
Denis Guedj's The Parrot's Theorem
Sarah Flannery's autobiography, In Code: A Mathematical Journey

Passover Haggadah as Ur-Text 

Alan Block, "Even if we were all scholars: The teacher's authority"

Landscapes, Soundscapes, ...

UBC Orchard Garden 
Marta Civil, unearthing the mathematics of a classroom garden (working paper on-line, later published in another form as Kahn, L. & Civil, M. (2001). Unearthing the mathematics of a classroom garden. In E. McIntyre, A. Rosebery, & N. González (Eds.) Classroom Diversity: Connecting School to Students' Lives (pp. 37-50). Portsmouth, NH: Heinemann.)

Breaking away from the math book (Pat Bagget & Andrzej Ehrenfeuch)