Batavia Local Schools 
Gifted Education

Differentiation in Mathematics

The following are suggestions given by Dana T. Johnson in Teaching Mathematics to Gifted Students in a Mixed-Ability Classroom (2000) for differentiating for the mathematically gifted by using (1) assessment, (2) curriculum materials, (3) instructional techniques, and (4) grouping models.

  • Give pre-assessments so that students do not have to repeat material they already know.
  • Create assessments that allow for differences in understanding, creativity, and accomplishment; give students a chance to show what they have learned.  Encourage students to explain their solutions both orally and in writing.
  • Provide multiple resources for students to explore.
  • Be flexible about pace.  Allow those who have mastered the basic skills to move on to more advanced problems.
  • Use inquiry-based, discovery learning approaches that use open-ended problems with multiple solutions or multiple paths to solutions.
  • Use a lot of higher-level questions in justification and discussion of problems.  Ask “why” and “what if.”
  • Provide enrichment activities such as puzzles and games. 
  • Provide activities that can be done independently or in groups based on student choice. 
  • Provide useful concrete experiences.
 

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