Serving Mathematics

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Serving Mathematics Web services for online assessment in mathematics Mathematics assessment systems: Question can contain randomized mathematical expressions Student’s answer is marked using a computer algebra system Can mark questions that have no unique answer Can render mathematical expressions

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Serving Mathematics : Serving Mathematics Web services for online assessment in mathematics http://maths.york.ac.uk/serving_maths/

Mathematics assessment systems: : Mathematics assessment systems: Question can contain randomized mathematical expressions Student’s answer is marked using a computer algebra system Can mark questions that have no unique answer Can render mathematical expressions

Separate Assessment Systems : Separate Assessment Systems AiM CABLE METRIC WaLLiS Student or Lecturer User has to deal with a different user interface and a different question syntax for each system Systems have to duplicate assessment system functionality TOIA

Single assessment system with remote question engines : Single assessment system with remote question engines AiM CABLE METRIC AiM Assessment System

Splitting up the tasks: : Splitting up the tasks: Question engine (Item engine) Template processing (randomization) Item rendering (optional) Response processing (may use CAS) Assessment system Assemble questions into quizzes (items into tests) Delivery of quizzes Scoring and reporting Keeping database of questions and responses

Components: : Components: Assessment System (Moodle) Question Authoring Tool (from scratch) Question engines (AiM, CABLE, METRIC SMITE Mathematics Translation Engine (e.g. TeX -> MathML) MathQTI RQP RQP SMITE protocol

Slide7 : The assessment domain   Assesment Creation: items; assessments; metadata. Banking: metadata; storage; management. Results reporting: grading; notification; transcripts. Response processing: web services; item statistics. Delivery: purpose; security; exposure; context; timetabling. Exchange: packaging; conversion.

Interoperability : Interoperability MathQTI Mathematics extension of QTI allowing presentation MathML and OpenMath expressions in template and response processing RQP Remote Question Protocol Web service protocol to allow communication between assessment systems and question engines. SMITE (Translation Engine) Protocol allows clients to request translation between different mathematical formats (e.g., MathML, OpenMath, TeX, CAS syntax, HTML)

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