Category Archives: Recursion

Additive recursion at dy/dan

The blog Dy/dan discusses an additive recursion formula.  It is apparent from the discussion that they are familiar with recursive and explicit as terms. It is clear from the discussion that the Peano Axioms are not any harder.  Addition … Continue reading

Posted in Explicit solutions of recursion | 5 Comments

Federal Reserve Education Bernanke Talk

Bernanke took questions from teachers at the Federal Reserve Board. Note video is down and on the extreme right. One question was how do they teach savings with interest rates so low. Bernanke said interest rates were low … Continue reading

Posted in Academy of Actuaries, Actuary, Ben Bernanke, Economic Scenario Generator, Federal Reserve, Financial Math, Financial Recursion, Recursion, Society of Actuaries, Uncategorized, What is math good for | Leave a comment

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 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

Pair of Number Lines and Successor Identities

This post concerns using a pair of number lines to illustrate the successor identities.  At lower grade levels, we can simply use a pair of number lines to “prove” the successor identities.   We actually make them plausible, but at an … Continue reading

Posted in Addition Right Identities, Addition Right Successor Identity, Addition Right Zero Identity, Lesson Plans, Lessons Lower Elementary Grade Levels, Number Line Induction, Number Line Recursion, Pair of Number Line Method of Addition, Recusive Inductive Definition of Addition, Teaching prime notation with number lines, Teaching x and y with Number Lines | 1 Comment

Leon Henkin On Mathematical Induction

Leon Henkin On Mathematical Induction 1960 is available for free download at Jstor. Stable Link: 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