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How to Do a Math Trail: Assessment

Expectations

A.The Math Trail Book Components
Introduction
History
Map is clear, has a key and legend
Assigned number of sites
Problems and solutions
Glossary
All manipulatives/measuring instruments used
Neat presentation

B.Conceptual Understanding of Mathematics
Utilizes key concepts
Use mathematical language accurately
Represents concepts in multiple ways (words, charts and graphs, artwork)

C.Solutions to Problems
Utilizes a variety of strategies
Includes clear and accurate representation of numbers, tables, graphs, illustrations used in solving problems
Process of solving is organized and can be verified by others
Written explanations

D.Written Work
 Overall structure of problem is clear
Terminology and symbols are used correctly
Demonstrates an understanding of written language (grammar, spelling, punctuation, sentence structure)

E.Oral Presentation
Presentation is organized in a logical way
Responds appropriately to questions
Speaks clearly
Voice inflection
Eye contact
Demonstrates understanding of task
Presents relevant information
Oral explanation of how to solve problems

Rubric

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Math Trail Presentation:
  • Poor presentation.
  • Needs overall improvement.
  • Work includes few components
  • Adequate presentation.
  • Includes many components which meet expectations, but not all.
  • Good presentation, some graphics, colorful, attractive.
  • All components included.
  • Excellent Presentation, attractive and colorful graphics
  • All components includes and work goes beyond what was expected.

Conceptual Understanding of Mathematics:
  • Demonstrates only a limited understanding of concepts and/or procedures.
  • May address some elements of the task correctly but reaches an inadequate solution and/or provides reasoning that is faulty or incomplete.
  • Reflects a lack of essential understanding of the underlying math concepts
  • Demonstrates partial understanding of mathematical concepts and key terminology.
  • May show some misunderstanding of underlying mathematical concepts.
  • Includes many components which meet expectations, but not all.
  • Good conceptual understanding of key concepts shown in multiple ways.
  • All components included and meet expectations
  • Excellent use of mathematical concepts/language
  • An array of words, tables, and illustrations may be used
  • Demonstrates a thorough understanding of the mathematical concepts and/or procedures embodied in the task

Solutions to Problems
  • Solutions reflect multiple flaws related to a misunderstanding on how to solve.
  • Uses inappropriate procedures/strategies.
  • Work is unclear and difficult to follow.
  • May contain a correct solution but no work shown.
  • Addresses most aspects using mathematically sound procedures and strategies.
  • May contain incorrect solutions but applies an appropriate strategy using valid reasoning and an explanation.
  • May contain correct solutions accompanied by incomplete procedure, reasoning, and/or explanations.
  • Includes many components which meet expectations, but not all.
  • Good evidence of strategies used.
  • Procedures for solving problems are mathematically sound.
  • May contain an incorrect solution but applies a mathematically appropriate process with valid reasoning in the explanation.
  • All components included and meet expectations.
  • Contain clear, complete explanations
  • Use mathematically sound procedures/strategies/ ALL WORK SHOWN
  • All problems solved correctly

Written Word
  • Poorly written.
  • Glossary contains major errors and misunderstanding of terms.
  • Few components are included with meet expectations.
  • Most components written adequately.
  • Glossary contains some errors.
  • Good overall structure.
  • Clearly organized work which connects multiple concepts.
  • Glossary indicates good understanding of terms with a few errors.
  • All components includes and meet all expectations.
  • Excellent overall structure
  • Work connects an array of concepts
  • All components includes and work goes beyond what is expected
  • All glossary terms defined correctly

Oral Presentation
  • Needs improvement.
  • Unable to adequately explain how problems were solved.
  • Few components included with meet expectations.
  • Includes many components which meet expectations, but not all.
  • Good presentation.
  • Work includes all components and meets expectations.
  • Excellent presentation
  • Includes all components and goes beyond what was expected.

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