The Role of Divergent and Convergent Thinking in Creative Problem Solving

The Role of Divergent and Convergent Thinking in Creative Problem Solving

Divergent and convergent thinking are both intellectual abilities that are necessary for generating creative ideas. Divergent thinking is a type of thinking that generates many new ideas and possibilities, while convergent thinking is a type of thinking that analyzes, compares, and selects ideas to arrive at the correct solution for a problem. The process of convergent thinking includes critical and judgmental thinking, so both divergent and convergent thinking are included in the intellectual abilities of creative thinking. In order to solve new problems with creative ideas, a broad knowledge in the relevant field is necessary. However, relying too much on specialized knowledge can hinder thinking outside of the conventional perspective and approaching problems in new ways.

Divergent thinking techniques include brainstorming, brainwriting, forced relationship, synectics, six thinking hats, SCAMPER, attribute listing, and mind mapping. In the problem-solving process, divergent thinking is the ability to explore information extensively, use imagination, and search for various solutions that are not predetermined. Convergent thinking techniques include highlighting, PMI technique (plus minus interesting), P-P-C dialogue technique (positive, possibilities, concerns), evaluation matrix, paired comparison analysis, and reverse brainstorming. Convergent thinking is the thinking style where various alternatives are analyzed and evaluated to ultimately select the most appropriate solution from multiple ideas.

Creative Problem-Solving Ability
As students grow, they encounter many problems and go through countless processes of solving them. According to Kahney (1993), a problem consists of a "goal" to be achieved and "obstacles" that prevent the goal from being achieved. The process of making efforts to achieve the goal is defined as "problem-solving." Problem-solving is a series of cognitive processing and thinking activities that occur in order to recognize a problem in a given situation and reach the goal state from the current state. Creative problem-solving is a process of problem-solving that involves divergent and convergent thinking, which leads to creative and productive thinking.

Urban (1995) also stated that the factors of creativity lead to creative problem-solving through dynamic connections among them, and this process should consider various personal, procedural, and situational factors. In the process of creative problem-solving, divergent thinking and convergent thinking are necessary as defining elements. Creative problem-solving ability is the ability to use the knowledge, concepts, principles, and thinking strategies that individuals already possess to solve problems in new ways. Ultimately, creativity is the process of producing something novel and useful based on individual or group characteristics through a creative process, which includes divergent thinking based on knowledge and convergent thinking using thinking skills to find and make decisions for problem-solving methods.

The Importance of Expert Knowledge and Problem-Solving Skills in Fostering Creativity
In recent years, as society becomes increasingly digitized and knowledge-based, the development of creativity through specialized knowledge and problem-solving skills is emphasized more than ever. In order to respond actively to the accelerating social changes driven by technological advancements, the role of creativity based on flexibility, openness, and originality becomes even more significant. Especially in response to the deepening phenomenon of specialization, developing a creative perspective that allows individuals to view their own fields in an innovative way is increasingly emphasized. Considering that specialized knowledge is crucial in identifying and restructuring problems, the interaction between specialized knowledge and problem-solving skills has a greater impact on nurturing creativity. Creative problem-solving ability is the ability of students to use their existing knowledge, principles, concepts, and thinking strategies to come up with new solutions. It involves breaking free from fixed ideas, biases, and conventions, actively and openly accepting new ideas, and overturning previously taken-for-granted notions. Creative thinking begins with combining one's own information and knowledge to think of new ideas.

The Incubation Effect and the Stages of Creative Thinking
We often find ourselves struggling to come up with a solution to a problem, feeling stuck and unable to think of any new ideas. At times like this, it is common to either give up on thinking further or take a break and rest. However, when we return to the original problem after an hour, a day, or even a week, suddenly everything becomes clear, and we can easily find a solution. This phenomenon is known as the incubation effect, which was included as one of the stages of creative thinking by Graham Wallas, a British social psychologist and educator, in 1926. Wallas proposed that creative thinking occurs through four stages: preparation, incubation, illumination or insight, and verification. First, after the preparation stage, it is necessary to go through a sufficient incubation stage without any conscious effort to solve the problem. Only then can we experience the "aha!" moment of insight. Giving ourselves time to incubate means giving ourselves the opportunity to think differently about the problem and break away from rigid thinking patterns. When finding it difficult to find a solution to a problem, instead of holding onto the problem blindly, taking a moment to set the problem aside and giving ourselves a break can be an effective way to solve the problem.

In conclusion, divergent and convergent thinking are both essential for creative problem solving. Divergent thinking generates multiple ideas and possibilities, while convergent thinking analyzes and selects the most appropriate solution. Developing creative problem-solving skills requires a combination of wide-ranging knowledge, divergent thinking techniques, and convergent thinking techniques. Additionally, fostering creativity through specialized knowledge and problem-solving skills is crucial in today's knowledge-based society. The incubation effect also plays a significant role in the creative thinking process, allowing for new insights and solutions to emerge. To enhance creative problem-solving abilities, individuals should cultivate a mindset that is open, flexible, and willing to think beyond conventional boundaries.

Actionable Advice:

1. Embrace divergent thinking techniques: Incorporate brainstorming, mind mapping, and other divergent thinking techniques into your problem-solving process. This will help you generate a wide range of ideas and possibilities.
2. Utilize convergent thinking techniques: Use techniques such as evaluation matrix, paired comparison analysis, and reverse brainstorming to analyze and evaluate different alternatives. This will guide you in selecting the most suitable solution for the problem.
3. Allow for incubation: When faced with a challenging problem, take breaks and give yourself time to let your mind rest and incubate. This will provide an opportunity for new insights and solutions to emerge.