PD Module 1: Student-led inquiry
Students' curiosity to answer their own questions may be a very powerful drive to engage in high quality inquiry. However, not all student questions are feasible for IBL, and it can be hard for the teacher to provoke productive questions. This professional development module considers how students might be encouraged to ask productive questions for learning.
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Potential for PD
In scientific inquiry, researchers will raise their own questions, search for ways to answer them, and evaluate their
results. In the classroom, students experience much less ownership, as the teacher will be likely to pose the questions,
provide the methods and evaluate the results.
In this module, teachers will be encouraged to experience what it feels like to think like a mathematician or scientist,
and reflect on the role shifts that are necessary for students to share this experience in the classroom.
Characteristics
The basic structure of the module is that, first, teachers are shown phenomena and situations and are invited to
pose and pursue their own questions. Next, they observe successful IBL classroom practices on video. These experiences
are then transferred to the classroom, and finally, they report back on the outcomes.
Concrete examples being addressed in this module include:
- Predicting the trajectory of a paper cup rolling over the floor
- Inducing rules that govern the walking behavior of the ‘turtle’ in the “spirolaterals” computer animation
- Recognizing and extending structures in pavements and other geometric patterns (examples include building a house from waste plastic bottles)
Doing the module with teachers will take a first session of about 2 hours, a week in between for the teachers to try out in their own classroom, and another half hour or so in a second session. This module is the first in a series of 7, and the second session could also be the start of the second module "Tackling Unstructured Problems”.
Inquiry processes
The inquiry processes in this module are structured according to a modeling cycle. The major inquiry processes addressed in this module are:
- Simplifying and representing the situation
- Analyzing and solving the model they’ve made
- Interpreting and evaluating the results
- Communicating and reflecting on the findings
Materials
- Download: PD Module Guide Pdf / Doc
- Download: Teacher Handouts Pdf / Doc
- Download: Example Lesson Plan Pdf / Doc
- Download: Ppt: Bottles Presentation
Classroom video: Building with plastic waste
- Go to: Classroon video - Spirolaterals
- Go to: Applet - Spirolaterals
Supplementary materials
- Activity A: Asking questions - Handout 1: Dissolving sugarlumps
- Activity A: Asking questions - Handout 1: Rolling balls
- Activity A: Asking questions - Handout 2: Modeling and experimenting cycles
- Activity B: Making observations from photographs - Handout 3: Photographs to explore with science
- Activity D: Plan a lesson, teach it and reflect on the outcomes - Handout 6: A sample lesson plan with science
Install the software applets
These pages require a web browser with Javascript and Adobe Flash Player 9 or newer to use the video and
software.
The software applets can be browsed as part of each module. If you want to install them separately on students'
machines you can download the set (and more) as a Windows installer or as Mac applications. Alternatively,
they are availavble in browser-based format for any system that supports Flash.
- Download: Windows installer
- Download: Mac applications
- Download: Browser-based format for any webbrouwser with flash
Credits
This module has been compiled for PRIMAS from professional development materials developed by the Shell Centre team at
the Centre for Research in Mathematics Education, University of Nottingham. Many of these materials were originally
written for the Bowland Maths project, funded by the Bowland Charitable Trust, or for the
Improving Learning in Mathematics
project which was funded by the Department for Education and Skills Standards Unit.