What is APS4Math?

APS4Math is an adaptive web-based tutorial which supports students' mathematics problem solving (modeling) skills by incorporating modularized adaptive instruction, practice and feedback based on learner characteristics (e.g., prior knowledge, learning performance.The tutorial provides continuous integration of assessment and teaching components.While students solve problems, adaptive tutorial monitor students' knowledge and skills and the content presentation, assessment items, feedback, and scaffolds are adapted to students' knowledge and skill levels. Students who need more assistance in improving problem solving skill are provided with extra help and guidance whereas students who have reached higher levels of proficiency are provided with less guidance and more practice with problem solving tasks. The problem solving process has been decomposed into smaller, more manageable, problem solving steps and, based on the literature, sub-skills associated with those steps have been identified. Adaptive tutorial individualize the instruction, practice and feedback by dynamically adjusting the student expertise level for each problem solving sub-skill (i.e. text comprehension, problem categorization, problem representation, solution planning/execution, and self evaluation).

Logic Model for Aps4Math


  • Instructional Design Quality: based on instructional guidelines provided by previous research and practices on the problem solving process.
  • Embedded Assessment: continuous assessment of knowledge and skills during learning process.
  • Mastery of Learning: the focus on content competency based on learning rather than grade level.
  • Theoretical Support/Pedagogical Quality: implementation of research-based instructional design guidelines offered by constructivism and cognitive perspectives.
  • Modularized well structured content: four core components; building pre-requisite skills, learning how to solve problems, applying problem solving skills, and adaptive assessment.
  • Multiple Implementation Options: for classroom instruction, to remediate student learning deficiencies, and/or to assign online homework outside of the classroom.
  • Collaborative Development Efforts: a team of researchers, graduate students, math educators, and instructional designers.