PRINCIPALS & SUPERVISORS >> WHAT TO LOOK FOR IN A MATHEMATICS LESSON: ©1995-2008 Mahesh C. Sharma All rights reserved.A. Are the lesson plan and flow of instructional activities guided by these principles of mathematics teaching?Instructional Activity: o Socratic questioning o Direct instruction (didactic) o Guided discovery o Coaching o Individualization o Assessment o Planned reinforcement and meaningful homework B. Lesson Content: Does the instructional lesson clearly shows that every mathematical idea reflects the these three components?* o Linguistic component2 o Conceptual component o Procedural component *The content of the lesson must integrate the development of the language of mathematics, conceptual models and the procedure/algorithm related to that concept. C. 6 Levels of Knowing: Does the lesson show that the mastery of a mathematical concept is developmental? Does the lesson reflect the six levels of knowing in its execution? o Intuitive level (knowing and showing the mastery by connecting and extending the new oconcept with prior knowledge, skills and procedures) o Concrete level (knowing and showing the mastery through concrete models) o Pictorial (knowing and showing the mastery through pictures, diagrams, context and representation) o Abstract level (knowing and showing mastery through symbolic representation, manipulation and abstractions) o Applications level (knowing and showing the mastery by applying the knowledge in intra-mathematical, interdisciplinary and extracurricular applications) o Communication level (the ability to explain, describe, teach other person, defend argument or method, write about it, etc) D. Lesson Structure and Organization: Do the instructional activities aim at developing a structure that is predictable, and at the same time has novelty? Each lesson should have: o Mental mathematics ^{4} o Conceptual development o Development of prerequisite skills ^{5} (Sequencing, spatial orientation and space organization, visualization, pattern recognition, deductive and inductive reasoning)^{6} o Writing number stories and problem solving o Planned activities for mastery and automaticity ©1995-2008 Mahesh C. Sharma All rights reserved. |

Experts > Sharma's CTLM >