Hypothetical learning trajectory (HLT) for proof logic topics on algebra course: What’re the experts think about?

Abstract

Proof has a role in the formation and development of mathematics in the history of mathematics. The ability to construct proof is one indicator of mathematical reasoning which is an important component of mathematics learning outcomes, especially in Algebra. This qualitative research aims to describe the design process of the Hypothetical Learning Trajectory for Proof Logic Topics. This research is based on design research. This research consists of three stages: preparing for the experiment, the design experiment, and the retrospective analysis. Data collection techniques in this research are walkthrough and interview. The walkthrough and interview were conducted in the first stage of design research (preparing the experiment) with two activities: expert review and reader proof to collect materials to revise the HLT. Four experts participated in the expert review. The experts are chosen based on the experience, both research experience, and teaching experience. The result of this research is the design of HLT for proof logic topics consist of four activities: reading proof, completing proof, examining proof, and Constructing proof. The four activities were well-done on the design experiment stage.

Hypothetical Learning Trajectory (HLT) for Fraction of Blind Students Using Braille Media Fraction Block

“…The instruments were assessed based on their expertise both theoretically and practically. Some common recommendations from the experts regarding the HLT include the order of activities based on the level of thinking, the selection of variations and the level of difficulty of the proof given to students, and the scaffolding used in the activity sheet (Agustiani & Nursalim, 2020). This expert review was carried out by a email review, which took approximately one month to complete.…”