Dr. Lara-Gonzalez
I am a professor of statistics at one of the local universities. In the last week of my last term, Spring 2020, I posted the following question to my students; should there be a prerequisite course or preparation course before this class? I have been doing this activity for the last four years and the answers are always the same: mathematics, algebra, and Excel. But this time, I received an original answer, not related to mathematics or any other data analysis tool. What I read surprised me. This student suggested a class of logical thinking to analyze and interpret the attributes of a data set. In my view, logical thinking will be helpful. But critical and analytical thinking skills will be beneficial and essential for students who are taking statistics to interpret and draw inferences about a population by evaluating statistical data sets and present and communicate with clarity, accuracy, and precision of the implications and consequences of their findings.
I have been teaching mathematics and statistics for the past 10 years. It is a simple transition. However, in an informal conversation with colleagues and friends, I have maintained that teaching statistics is more challenging than teaching mathematics. Learning statistics is more demanding and stimulating than mathematics. In statistics, for teaching and learning a real-world application require three specific competencies that are a link to critical thinking skills:
- The ability to connect statistics and real-life situations;
- The knowledge of basic statistical concepts such as probability distribution, statistical significance, hypothesis testing, and regression; and
- The ability to integrate the elements of a statistical study and to communicate the results clearly.
As a professor, I have encountered all kinds of students taking a statistics class. The minority of those students are excited to learn about statistics. While the majority are nervous because their previous experiences with statistics were not pleasant, or they have heard the negative stories from other students and their experiences of taking statistics. I regularly listen to freshman students expressing their uneasiness about statistics; “I took statistics once and hated it; memorizing all those formulas is impossible.” Similarly, I have encountered students who do not know what to expect from the course. My academic experience indicates that when students do not know what to expect, they are not fully prepared. Thus, it can affect their success in the course. Particularly statistics that is a technical and creative discipline where students can see and experience the usefulness in action. This practical and creative discipline requires an intellectual process.
Source: eschoolnews.com
Scriven and Paul (2003) describe critical thinking as an intellectual process of actively and skillfully conceptualizing, applying, analyzing, synthesizing, and evaluating information gathered or generated by observation, experience, reflection, reasoning, or communication, as a guide to belief and action. Because of this intellectual process, the use of critical and analytical thinking skills is vital. It is a requisite to have critical thinking skills to select the right statistical analysis or the right statistical model for a particular problem. Then, students have to have the same analytical and critical skills for interpreting, inferring, and evaluating the implication and consequences of the results. Last, communicating the findings to address the stated problem with clarity, accuracy, and precision, it is essential to display intellectual integrity.
Reference
Scriven, M. & Paul, R. Defining critical thinking. Foundation for Critical Thinking. Retrieved from https://louisville.edu/ideastoaction/about/criticalthinking