Category Archives: Recursive Definitions

Multiplication of Negative Numbers Recursive Continuation

Recently, the subject of how to teach or justify rules for multiplication of negative numbers has come out.  The following is an approach based on the Peano Axioms. Natural numbers are 0, S(0), S(S(0))), … 1= 0′. S(0) = 1 … Continue reading

Posted in Analtyic Continuation, Analtyic Recursive Continuation, Angela Chen Chronicles Higher Education, dy/dan Dan Meyer, Inductive Definitions, It Ain't No Repeated Addition, James Tanton Math Videos, Justin Reich, Keith Devlin Stanford, Khan Academy, Math Video Series, MTT2k, MTT2k Prize, Mystery Teacher Theatre 2000, Recursion, Recursive Continuation, Recursive Definitions, Recursive Inductive Definition of Multiplication, Recusive Inductive Definition of Addition, Uncategorized | 50 Comments

Re dy/dan An Incomplete History Of The Math Edublogosphere

The blog dy/dan by Dan Meyer has a post titled An incomplete history of the math edublogsphere.  This has a comment thread of math teachers who blog and apparently regularly follow dy/dan. Number 7 Jeanette links to http://algebra1teachers.com/ This in … Continue reading

Posted in Common Core Standards Recursion, dy/dan Dan Meyer, It Ain't No Repeated Addition, Keith Devlin Stanford, Math Education Bloggers, Recursive Definitions | Leave a comment

Leon Henkin On Mathematical Induction

Leon Henkin On Mathematical Induction 1960 is available for free download at Jstor. Stable Link:  http://www.jstor.org/stable/2308975 You can click on the download pdf at the above link. This article is easier in some parts than others.   As it goes on, … Continue reading

Posted in 20th Century Peano Addition Authors, 21st Century Peano Addition Authors, Edmund Landau, Inductive Definitions, Leon Henkin, Leonard Blackburn, Mathematical Induction, New Math, Recursion, Recursive Definitions, Richard Dedekind | Leave a comment