This visit was organized very different than the visits I have made in the past. The middle school class that I am typically assigned to observe were taking the SBAC testing, so I was placed in the math lab at the high school. Essentially, the math lab is either a full class or a study period dedicated to math projects that are presented to students via google docs. For example, many students were working on finding squares and cubes of smaller numbers in larger numbers. For example, 125 can be rewritten as 25*5, and 25 can be broken down into 5*5, thus 125 is equivalent to 5 cubed. In the google docs, students have problems and examples on topics that range from inequalities to trigonometry, and students are assigned roughly 20-25 problems that range from drawing diagrams, to fill in the blank, to short answer, to multiple choice. Students were given an hour in their block to work on their google doc projects.
It was very interesting to be able to observe a class who were working independently on math projects. Students seldom needed help on the problems and each student was encouraged to work at their own pace and ask their friends for help which they did often. These types of projects encourage individual development by going into immense depth such that students are able to highlight frequent mistakes that are made in their mathematical procedures. This also ensures that students are learning the math themselves rather than being led on and aided by fellow peers and instructors.
Although I am not a fond believer in hours of individual work on worksheets or projects within the classroom, in the field of mathematics it is inevitable that many students will need to utilize worksheets in order to get sufficient practice of various math topics. I believe projects and group work to be a more beneficial study habit because it allows students to reiterate topics in their own words to each other, they also amplifies teamwork skills, and promotes positive, fun ways of thinking and working. Worksheets tend to leave students feeling fatigued, bored, and disengaged. Although I understand the importance and relevance of worksheets in a math classroom, it seems like these students spend hours and hours per week in the math lab, and I will ensure that my students in the future experience a variety of mathematical practices and study techniques.