8.7a Problem Solving

One of the problems with problem solving is defining it. There is a variety of definitions of problem solving. Some define problem solving in terms of the skills needed to solve problems, e.g. testing hypotheses, analyzing data. Others define problem solving as a series of steps that people use to find a solution or answer to a question.

Helgeson reports that in the literature of science education there is a strong linkage between problem solving and science process skills. That is, many science teachers teach students science process skills in the context of a subject---earth science, biology, chemistry, physics---because they accept the notion that these process skills are indeed the elements of problem solving. There are two aspects of this that should be pointed out. First, what are the generally accepted steps in problem solving, and secondly what are the science processes associated with problem solving.

Problem Solving Schema. No doubt you have come across the steps usually associated with problem solving; Are these familiar?

  • Problem orientation
  • Problem identification
  • Problem solution
  • Data analysis
  • Problem verification

A more elaborate form of the problem solving strategy is one described in a typical middle school/junior high science text. Four general step are presented: Question, Test, Conclude, and Analyze. Students are shown that there are four steps involved in the scientific method to generate information and questions.

Another way to look at problem solving is from the vantage point of the scientist. Paul Brandwein depicts the scientists' approach to problem solving as the "scientists methods of intelligence." Typically the scientist's way begins with a discrepancy---a situation that does not fit the scientists present "concept." Although this theoretical model is often not applied directly to the classroom, there are a number of elements that are applicable.

Note that the model involves a number of processes---observing, hypothesizing, designing an investigation. These are examples of science thinking skills which have become one the organizing structures for teaching problem solving. Let's take a closer look at these scientific thinking skills.

Scientific Thinking Skills and Problem Solving. The curriculum projects of the 1960s and 1970s placed emphasis on problem solving, and developed as part of the organization of the curriculum a series of problem solving skills which became known as the processes of science. They are sometimes called the skills of science. Today, these skills are referred to as scientific thinking skills. It is important to note that problem solving as perceived in science classrooms is intimately related to these thinking skills.

The thinking skills of science are conceptualized as belonging to two distinct groups, basic thinking skills, and integrated thinking skills (shown in the table below). As you examine different science curriculum project materials, you will find some variation in the "lists" of skills, but in general:

  • Basic thinking skills such as observing emphasize the foundations of science learning. The basic thinking skills are seen as a prerequisite for the integrated thinking skills.
  • Integrated thinking skills are related more directly to problem solving, and are seen as the higher-order intellectual skills that problem solvers use.
Scientific Thinking Skills

Basic Science Thinking Skills
Integrated Science Thinking Skills
Observing

Using the senses to gather information about an object or an event.

Example: Describing a mineral as red.

Controlling Variables

Being able to identify variables that can affect an experimental outcome, keeping most constant while manipulating only the independent variable.

Example: Controlling the type of soil or sand and the angle of incline when testing to find out what affect the amount of flow (water) has on the depositional rate of a model river in a stream table.

Inferring

Making an "educated guess" about an object or event based on previously gathered data or information.

Example: Saying that a landform was once underwater because of the presence of Brachiopod and trilobite fossils in the rocks.

Defining Operationally

Stating how to measure a variable in an experiment.

Example: Stating that depositional rate will be measured in grams of sand deposited in the stream table's "ocean."

Measuring

Using both standard and nonstandard measures or estimates to describe the dimensions of an object or event.

Example: Using an equal-arm balance to measure the mass of an object.

Formulating Hypotheses

Stating the expected outcome of an experiment.

Example: The greater the amount of flow in a river the greater the depositional rate.

Communicating

Using words or graphic symbols to describe an action, object or event.

Example: Describing the change in temperature over a month in writing or through a bar graph.

Interpreting Data

Organizing data and drawing conclusions from it.

Example: Recording information about weather changes in a data table and forming a conclusion which relates trends in the data to variables (such as temperature, pressure, cloud cover, precipitation)

Classifying

Grouping or ordering objects or events into categories based on properties or criteria.

Example: Placing all minerals having a certain hardness into one group.

Experimenting

Being able to conduct an experiment, including asking an appropriate question, stating a hypothesis, identifying and controlling variables, operationally defining those variables, designing a "fair" experiment, conducting the experiment, and interpreting the results of the experiment.

Example: Describing and carrying out a process to find out the effect of stream flow on depositional rates in rivers.

Predicting

Stating the outcome of a future event based on a pattern of evidence.

Example: Predicting the position of the moon in the sky based on a graph of its position during the previous two hours.

Formulating models

Creating a mental or physical model of a process or event.

Example: The model of how the processes of erosion, deposition, metamorphism, and igneous activity interrelate in the rock cycle.