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Recontextualizing Blooms Taxonomy: Quantitative Measures in Formative Curriculum Assessments and Program Evaluationspresented by Anthony ClemonsStudent, Master of EducationTeachers College, Columbia University

Aaron Smith, Ph.D.Lecturer, Dept. of MathematicsUniversity of Central FloridaPresented March 12, 201628th International Conference on Technology in Collegiate Mathematics

AGENDAPurpose of Our ResearchSupporting LiteratureModified Delphi Assessment ModelConclusionReferences

RESEARCH PURPOSEWe wanted to find a way to:Formatively evaluate the quality of an academic course through its curriculum,Using cognitive achievement as the measurement vehicle,While quantifying our results

RESEARCH PURPOSEWhat would this evaluation require?A reasonable surrogate (Horner et al, 2005)That assimilates assessment dataTo provide a comprehensive evaluation of both a course and its curriculum

RESEARCH PURPOSEHow did we arrive at a finding a reasonable surrogate?

SUPPORTING LITERATUREThis evaluation is possible using,

SUPPORTING LITERATUREWhat is Blooms Taxonomy?A hierarchal scheme for identifying a continuum of six specific cognitive demands in learning, ranging from simple (knowledge, comprehension, and application) to more complex (analysis, synthesis, and evaluation) (Bloom et al.,1956; Armbruster & Ostertag, 1989).

SUPPORTING LITERATURE

Higher-Order Thinking Skills (HOTS)?The taxonomys top three cognitive domainsRequires students to grasp a deep understanding of what they are learning and be more critical and creative instead of merely recalling information

SUPPORTING LITERATURE

Lower-Order Thinking Skills (LOTS)?The taxonomys lowest three cognitive domains Emphasis on instruction versus facilitation Involves repeated responses to recurrent stimuli for the purpose of adjusting cognitive tendencies so individual knowledge might be thwarted to action (Dewey, 1916).

SUPPORTING LITERATUREWhy Use Blooms Taxonomy?Research concedes it as a valid framework for quantitatively measuring the consistency and quality of HOTS and LOTS, it can also be an input for categorizing and comparing cognitive skillsIt defines the academic quality of courses in terms of the level of academic demands or rigor expected of the students (Nordvall & Braxton, 1996, p. 486)

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MODIFIED DELPHI ASSESSMENT MODELHow do we use Blooms as a formative assessment tool?NOTE: Nature of formative curriculum assessments is that they are conducted prior to curriculum being implemented as an instructional instrument (i.e. before the coursework is taught in class).By modifying Rowe and Whites (1999) characterization of the classical Delphi method, this need can be met through redefining the methods key features via an iterative Delphi-based model.

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Tri-Phased Delphi Evaluation Process for Programmatic Curriculum Assessments

MODIFIED DELPHI ASSESSMENT MODEL

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MODIFIED DELPHI ASSESSMENT MODELDelphi 1: Coding Learning Objectives Learning objectives are assessed for validity and coded according to the taxonomical domain with which each objective is aligned as follows:

Taxonomical LevelTaxonomical CodeKnowledge1Comprehension2Application3Analysis4Synthesis5Evaluation6

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MODIFIED DELPHI ASSESSMENT MODELDelphi 1: Coding Learning Objectives Using table below, synchronizing the taxonomical domain coding for a courses learning objectives can be facilitated:

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MODIFIED DELPHI ASSESSMENT MODELQuantitative ModelDelphi 2: Quantitative Curriculum Assessments Statistical MeasurePurposeArithmetic MeanEstimate of the sampled populations central tendencyWeighted Distributive MeanEnsures the percentage of time spent in a class session on each learning objective is accurately captured using a weighted percentageVarianceProvides a quantitative basis for consideration as to whether to narrow or widen the variance in how curriculum and learning objectives foster learning

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MODIFIED DELPHI ASSESSMENT MODELQuantitative ModelDelphi 2: Quantitative Curriculum Assessments Statistical MeasurePurposeStandard DeviationProvides a quantitative basis for consideration as to whether to narrow or widen the variance in how curriculum and learning objectives foster learning. One-to-one relationship with the variance. Used according to preferenceMedianAllows for researchers and practitioners to determine the quality of distribution through knowing what the measure for central tendency is for all of the learning outcomes within a course.SkewnessMeasures whether there are observable extreme values following a common direction along either the first and fourth quartiles, incurring an asymmetric form to the central tendency along that direction.

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MODIFIED DELPHI ASSESSMENT MODELWhat are we looking for?

Cognitive Progression and an emphasis on HOTS!

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MODIFIED DELPHI ASSESSMENT MODELQuantitative ModelDelphi 3: Content Analysis, Content Revisions, Learning Objectives Recoded, and a Quantitative ReassessmentLessons endure a another review for learning objectives and lesson content alignmentSome lessons must be recomposed by: Adjusting the lesson content to meet the actual cognitive level of the objective, Adjusting the lesson learning objective(s) to the taxonomically sufficient level that meets the actual cognitive level of the content, or Removing the objective and content from consideration entirely

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MODIFIED DELPHI ASSESSMENT MODELDelphi 3: Content Analysis, Content Revisions, Learning Objectives Recoded, and a Quantitative ReassessmentOnce all appropriate revisions successfully instituted, the actions within Delphis 1 and 2 must be re-engaged This ensures the most accurate data is accumulated giving all stakeholders a decisively precise snapshot of the state of a courses curriculum

Achieved through using this model and Blooms taxonomy as lesson assessment and course evaluation vehicles=

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CONCLUSIONThis model allows institutions to have a structured, measurable body of curriculum for its courses, while leaving the content creativity to the instructor and department

This model provides a quantitative assessment methodology for accreditation agencies to use in determining the level of critical thinking being achieved in every course, department, and institutionThis can provide consumer data to prospective students who want to effectively achieve HOTS in their coursework

We acknowledge the need for additional research, using various data sets, but the existence of course learning outcomes and lesson learning objectives must exist to do so

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REFERENCESBloom, B., Engleheart, M., Furst, E., Hill, W., & Krathwohl, D. (1956). Taxonomy of Educational outcomes: The Classification of Educational Goals. Handbook I: Cognitive domain. New York: Longman.

Dewey, J. (1916). Democracy and education: An introduction to the philosophy of education. New York: Macmillan

Horner, R., Zavodska, A., & Rushing, J. (2005). How challenging? Using Bloom's Taxonomy to assess learning outcomes in a degree completion program. Journal of College Teaching & Learning, 2(3), 47-51. http://dx.doi.org/10.19030/tlc.v2i3.1785

Rowe, G. & Wright, G. (1999). The Delphi technique as a forecasting tool: Issues and analysis. International Journal of Forecasting, 15(4), 353-375