COURSE-WIDE OBJECTIVES
By the end of the three-course intro lab sequence, students should be able to:
- Collect data and revise an experimental procedure iteratively and reflectively,
- Evaluate the process and outcomes of an experiment quantitatively and qualitatively,
- Extend the scope of an investigation whether or not results come out as expected,
- Communicate the process and outcomes of an experiment, and
- Conduct an experiment collaboratively and ethically.
Specific learning outcomes
By the end of the three-course intro lab sequence, students should be able to:
- Collect data and revise the experimental procedure iteratively, reflectively, and responsively
- Decide which data to collect, including:
- which variables to change/vary and how to change them,
- which variables to control and how to control them, or
- which variables to measure.
- Decide how to measure data, including:
- how much data to collect (including number of trials, range of each variable, frequency/spacing of data collection) to obtain desirable uncertainty in measured values or calculated parameters,
- what equipment to use, or
- determine ways to reduce sources of uncertainty, systematics, or mistakes.
- Make predictions about expected measurements, data, and results by:
- choosing a model to test from theory or predictions,
- performing order of magnitude estimations,
- checking units and dimensions,
- consulting previous data and results, or
- collecting preliminary, pilot data.
- Use the predictions about expected data, uncertainties, and systematics to:
- consider spacing and frequency of data,
- quantify systematics or design tests to quantify them, or
- identify where the main effect might be.
- Decide which data to collect, including:
- Evaluate the process and outcomes of an experiment quantitatively and qualitatively
- Analyze data using computational methods including (but not limited to) working with software such as spreadsheets, Matlab, or Python.
- Decide how to analyze the quality of the measurements, which involves:
- identifying and distinguishing possible sources of uncertainty, either from the measurement model or physical model,
- distinguishing instrumental uncertainty from random uncertainty,
- determining how to quantify those sources of uncertainty (e.g. through standard deviation or standard uncertainty of the mean of repeated measurements or instrumental precision), or
- propagating measurements uncertainties through calculations that use the measurements.
- Compare pairs of measurements by determining the degree to which uncertain measurements are statistically distinguishable.
- Describe how the least-squares method provides a measure of the best-fit (conceptual understanding).
- Compare data to a model quantitatively by:
- plotting data and model on traditional x-y plots including appropriate representations of uncertainty,
- linearizing data via semi-log or log-log plots,
- performing linear and non-linear weighted least-squares fits,
- plotting residuals, and/or
- interpreting the outcomes of the analyses.
- Reflect (and respond appropriately) throughout the data collection process by:
- plotting as data are collected, and
- evaluating the methods and data (e.g. checking uncertainty, systematics, or mistakes, monitoring constraints and feasibility, interpreting and making sense of results).
- Extend the scope of an investigation whether or not results come out as expected
- Draw inferences from analyses conducted (e.g. the degree to which data agree or disagree with a model or to other data).
- When data and results do not come out as expected:
- Determine plausible explanations for the disagreement (e.g. assumptions or approximations in the models, measurement mistakes, or issues with equipment),
- Test whether the results are repeatable or reproducible under the same conditions,
- Check whether the results are repeatable or reproducible with improved precision or measurement quality,
- Isolate and test components of the system (troubleshoot), and
- Design new experiments/tests to explore other explanations for the disagreement.
- When data and results do come out as expected:
- Test whether the results hold with higher levels of accuracy and precision (improve the quality of measurements), or
- Extend the scope of the experiment to check if there is “new” physics at these levels.
- Communicate the process and outcomes of an experiment
- Describe the experimental goals, process, data, results, and conclusions in a lab notebook including:
- Justification for all decisions made, and
- Supplementing, rather than replacing content when changes are made.
- Use previous notes in their lab notebooks to inform design of future experiments.
- Explain the experiment, broader context, and uniqueness of the investigation in a more formal format such as a final report, oral presentation, or poster.
- Present conclusions, claims, and outcomes as arguments that are supported by and follow coherently from evidence (data).
- Describe the experimental goals, process, data, results, and conclusions in a lab notebook including:
- Conduct an experiment collaboratively and ethically
- Brainstorm with their group to construct a diverse set of ideas when making decisions.
- Share experimentation responsibility with other group members (i.e. rotate roles, allow others to lead).
- Provide positive and constructive feedback when evaluating peers’ work.
- Consider issues of scientific ethics when analyzing data including:
- Dealing with outliers,
- Dealing with data and results that do not match predictions or expectations, and
- Dealing with data and results that do match predictions or expectations.