scholarly journals Designing a Hypothetical Learning Trajectory Based on Investigative Learning

2021 ◽  
Vol 10 (1) ◽  
pp. 14
Author(s):  
Charina Ulfa ◽  
Ariyadi Wijaya ◽  
Habibullah Habibullah
2019 ◽  
Vol 14 (1) ◽  
pp. 91-100 ◽  
Author(s):  
Elis Muslimah Nuraida ◽  
Ratu Ilma Indra Putri

This study aims to explore the students’ mathematical understanding in integer division operation through the context of archipelago traditional cakes in class VII. This research is related to the Indonesian Realistic Mathematics Approach (PMRI) as a learning approach used. The methodology used in this study is Design Research consisting of three stages: preliminary design, experimental design, and retrospective analysis. The study was conducted on VII grade students of Palembang 1 Junior High School. The learning path (Hypothetical Learning Trajectory) in design research plays an important role as a research design and instrument. The Hypothetical Learning Trajectory (HLT) was developed together with a series of activities using the context of archipelago traditional cakes such as: omelette roll, bakpia, milk pie, etc. The medium used in this study was the Students’ Activity Sheet. The results of this study indicate that exploration using the context of traditional archipelago cakes can help students understanding in multiplication and division of integers. The conclusion of this study is the use of archipelago traditional cakes as starting point in mathematics learning in integer division operation material helps the students to explore their understanding in solving mathematics problems.


2012 ◽  
Vol 43 (5) ◽  
pp. 557-583 ◽  
Author(s):  
Anderson Norton ◽  
Jesse L. M. Wilkins

Piagetian theory describes mathematical development as the construction and organization of mental operations within psychological structures. Research on student learning has identified the vital roles of two particular operations–splitting and units coordination–play in students' development of advanced fractions knowledge. Whereas Steffe and colleagues (e.g., Steffe, 2001; Steffe & Olive, 2010) describe these knowledge structures in terms of fractions schemes, Piaget introduced the possibility of modeling students' psychological structures with formal mathematical structures, such as algebraic groups. This paper demonstrates the utility of modeling students' development with a structure that is isomorphic to the positive rational numbers under multiplication–the splitting group. We use a quantitative analysis of written assessments from 58 eighth grade students to test hypotheses related to this development. Results affirm and refine an existing hypothetical learning trajectory for students' constructions of advanced fractions schemes by demonstrating that splitting is a necessary precursor to students' constructions of 3 levels of units coordination.


2019 ◽  
Vol 7 (3) ◽  
pp. 455
Author(s):  
Said Ali Akbar ◽  
Hasby Hasby

Students often have difficulty in understanding chemistry lessons, especially Colligative Properties. Teachers should have systematic learning plans so that students understand the content of learning well. Hypothetical Learning Trajectory (HLT) is effective to be used in the learning process because it becomes an idea in designing detailed learning paths. Besides that, learning outcomes can be achieved well and optimally. This study uses qualitative and quantitative approaches. Data processing is carried out based on four assessment criteria. First, student responses that appear based on response predictions, second, student ability test scores, third, analysis of learning activities, and finally science process skills (SPS). The results showed that the didactic presented by the teacher as a student learning path was good enough. Only 12% of student responses are beyond predictions. Furthermore, student SPS through the use of HLT shows that classification and communication skills have a high value, respectively 82% and 81%. Meanwhile, based on Piaget's approach, students' conceptual abilities are better (56%), compared to other abilities. Therefore, the application of HLT to the material of colligative properties towards students is very good.


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