Deliberate Practice for Algebra 1 with the TI-Nspire® Calculator: Electronic Supplemental Resources. A PROPOSAL for a PROJECT in MATHEMATICS Steven Mendoza
Motivation: Classroom Needs Student Needs – Incoming barriers Number concept Number facts – Outgoing barriers Computation Procedural Teacher Response – Quantity of practice – Quality of practice – Feedback – Individualization PRACTICE!!!Shift focus to GERMANE load.
Intended Outcome: Schema Automation Cognitive Load Theory – Working memory is limited – Intrinsic, germane, and extraneous loads – Cognitive overload – Automated schemas – Early versus later stages of learning Why is schema automation desirable?
Deliberate Practice Students’ practice has actually improved their performance. Practice is within the student’s ability level. Timely and descriptive feedback. Repeated opportunities to practice a task through practicing other tasks like it Brabeck, M., & Jeffrey, J. (2011). Practice for Knowledge Acquisition (Not Drill and Kill).
Choice Of Content Focus State and National Standards – Texas Essential Knowledge and Skills – National Council Teachers of Mathematics – Common Core State Standards Initiative Why focus on linear equations, functions, and systems? 4 Readiness Standards and 7 Supporting Standards for Algebra 1 39 TOTAL Algebraic Thinking (Driscoll) -Doing/undoing -Symbol sense -Multiple representations
Existing Resources Has this been done before? Are we reinventing the wheel? Holt 2-3 (2007) Practice Problems reproduced with permission from HMH Publishing
Existing Resources (continued) Carnegie Learning’s Algebra 1, based on cognitive tutor. coolmath.com
Program Details
Timeline/Intended Results