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Learner Analysis
Information Categories Data Sources Learner Characteristics Entry Behaviors Interviews and Observations Testing Data
Performance Setting : Learners have some experience with proofs and Logical thinking skills. Learners have experience with applying geometric postulates definitions and theorems in other geometric problems. Learning Setting : Learners have experience with computers.
Prior Knowledge of Topic Area
Interviews and Observations Testing Data
Learners have general knowledge of geometric postulates, theorems, and definitions. Learners have general knowledge of Algebra.
Attitudes Toward Content Interviews and Observations The learners believe that there is no practical application of geometric proofs in the "real world". The learners believe that mathematics is performing a series of steps that do not require decisions. Therefore they consider the content difficult.
Attitudes Toward Potential Delivery System
Interviews and Observations Learners enjoy computer- based instruction. It is more visual.
Motivation for Instruction Interviews and Observations Learners are excited about learning the relevance of this material. Learners are confident that they can succeed. Learners will be attentive and satisfied with the delivery of instruction.
Education and Ability Interviews and Observations Educational Abilities :
Levels Student Records Testing Data
Learners are in grade levels 9 - 11. Learners have successfully completed Algebra I. Ability Levels : The Learners have a varying degree of ability levels in mathematics General Learning Preferences
Interviews and Observations Learners are experienced with a variety of learning formats. They enjoy control of learning and do not enjoy feeling embarrassed.
General Group Characteristics
Interviews and Observations Student Records Testing Data
Heterogeneity : Learners come from various backgrounds. There are a mixture of gender and races. Size : There are 14 learners participating. Overall Impressions : Instruction will need to be efficient and effective.
Attitudes Toward Training Organization
Interviews Learners have positive feelings about the organization developing the materials and about using the computers for instruction. They believe this training will help them be more successful in math courses.
Needs Assessment
Actual performance :
Observational and paper assessments show poor performance of logical thinking skills in geometric proofs. Students are able to fill in blanks on a given proof but are unable to produce a proof of their own. They lack the analysis skills and confidence necessary to deduce a logical sequence of statements.
Optimal Performance :
Students use logical thinking skills and prior knowledge of geometry to prove theorems.
Needs :
- Improvement of logical thinking skills.
- Confidence in mathematical abilities.
Solutions :
- Training in completing geometric proofs.
- Incentives for optimal performance
Goal :
Students will generate two-column geometric proofs for a variety of problems by applying logical thinking skills.
Domain of Goal:
Cognitive by Bloom and Intellectual Skill by Gagne.
Learning Outcome of Goal:
Analysis by Bloom and Problem Solving by Gagne.
