Cybernetical Mathematics Teaching Interventions,

Mahmoud Abdulwahed Mathematics Teaching Interventions For at-Risk non-Specialist Students, a Cybernetics Point of View

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Overview

Mathematics Perception of Non-Specialist ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],A recent large scale study on A-Level students questioning why they don't choose continuing math study, many reasons where revealed (Brown et al 2008):

Math Weakness Factors ,[object Object],[object Object],[object Object],[object Object],Hence, for better design of teaching interventions, those factors must be investigated and taken into consideration.

Cognitive Psychology Background ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],The information processing model of Human Memory (Slavin 2006) Short Term Memory External Stimulus Sensory Register Initial Processing Short Term Memory Long Term Memory Repetition Retrieval Rehearsal and Coding Information Forgotten Forgotten

Cognitive Psychology Background ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Long Term Memory External Stimulus Sensory Register Initial Processing Short Term Memory Long Term Memory Forgotten Forgotten Repetition Retrieval Rehearsal and Coding Information Episodic Memory Semantic Memory Procedural Memory

Pedagogical Background, Constructivism ,[object Object],[object Object],[object Object],[object Object],Constructivist Design Model, Kolb’s Experiential Learning Model ,[object Object],[object Object],[object Object],[object Object],Abstract Conceptualization Concrete Experience Reflective Observation Active Experimentation

Mathematical Model of a Pedagogical Model Kolb Cycle with Normal vs. at Risk Student Output - + Input Feedback/Measurement Low Pass Filter Mapping Kolb’s Cycle into Mathematical Model. - Rf Y ,[object Object],[object Object],[object Object],Modelling Kolb’s Model ! Motivation and Findings:

Engineering Approach in Lecturing Design Closed Loop Lecturing Mathematical Model (Abdulwahed et al 2008 [2]) ,[object Object],[object Object],[object Object],[object Object],Designing Lecturing: Design Outlines: Module outcomes for normal vs. at risk students Prerequisites Final Module Outcome Lecture 1 Lecture 2 Lecture N Block diagram of closed loop lecturing model for at risk-students. Lecture 2 Objectives Lecture N Objectives Lecture 1 Objectives

Analysis and Design Implications ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Interventions Implementation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Potential Technology Assisted Intervention Tools ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Most these tools are either free or available in the University !

Evaluating Interventions Hybrid Evaluation Methods ,[object Object],[object Object],[object Object],[object Object],Initial Suggested Tools: X X Treatment Pre Post Experimental Group Equivalent groups Different Outcome? Control Group Y Yt

Cybernetical Mathematics Teaching Interventions,

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Cybernetical Mathematics Teaching Interventions,