Archive | Juni 2012

The Hypothetical Learning Trajectory (HLT)

This is one of assignments given when I was in Realistic Mathematics Education course. We have to describe what steps that the articles show.

The Hypothetical Learning Trajectory (HLT)

By : Dwi Afrini Risma (F112661)

Simon used a brilliant metaphor to describe how a teacher needs to make planning before teaching, i.e. journey metaphor. Based on this metaphor, in order to reach the learning goal, teacher has to make a learning trajectory in which give a guideline for every learning step made. This trajectory is not only describes how the learning process started but also how to shift students progress in thinking from model of to model for. An actual teaching experience in the classroom perhaps will differ from the design because of the students’ thinking and big idea. When teacher experience this situation, they have to revise the design and may implant the new design. This cyclic process is introduced by Simon (1995) with the term hypothetical learning trajectory (HLT).

In Koeno Gravemeijer article, Measurement and Flexible Arithmetic can be begun by situating the classroom teaching experiment on measurement and arithmetic in context of the research that proceeded. In this learning, the goal is to helps students develop a framework of number relations, which would enable them to construe flexible computation strategies for addition and subtraction up to 100. In the design, we use ruler as a model of iterating some measurement unit and the empty number line as a model for of mathematical reasoning. The trajectory of this activity can be seen in the following scheme. Baca lebih lanjut


Exploring the Graph of Quadratic Function

As a final project of  Design of Science Education and Communication course, all students, including my partner Sylvana and I have to design a learning activity. There 3  documents that we design;

  1. Underpinning Design
  2. Students’ Worksheet and Exercise
  3. Teaching Guide and Rubric

Underpinning Design

In this document we will describe our design about the “Exploring the Graph of a Quadratic Function”, for which the target group is students grade X in St Albertus Senior High School (14 to 15 years old), in Indonesia. This design is mainly intended to help students in drawing the graph of a quadratic function and let the students experience drawing the graph of a quadratic function to be more meaningful. The more detailed information about target group will be described in the target group part. In this design, we set students to work with a software namely Graphmatica 2.0. This software is used to draw any function. Baca lebih lanjut