The old adage goes “I don’t teach math. I teach children.” That line typically gets used when an educator’s focus is a bit out of balance with respect to empathetic student-centered attitudes and content-driven, fidelity-to-curriculum attitudes. There needs to be a balance and it can be tricky to find sometimes.
In addition to that, there is another balance that needs to be struck. The balance between the math content in a curriculum and the other skills the students are going to need to learn the math content. Some of these skills are considered “soft skills” by some. These are things like communication skills, presentations, research, teamwork. I’ve always been a bit uncomfortable with the term “soft skills”. (We can talk more about that another time if you want).
Beyond those, there are some “hard” skills that some math teachers just feel isn’t their job to teach. These are things like technology skills, reading, writing, and supplementary (often much lower-level) math skills. I’ve been in a variety of math classrooms talking to teachers of high school math who feel like they just shouldn’t have to teach fractions, long division, and reading.
Yet, increasingly math classes are starting to look like this.
And those skills, be them “soft” or “hard” will directly impact our students’ ability to learn the math content that we are hoping they’ll learn. I think it is important that we math teachers simply expect to have to teach our students to do everything we need them to do to be successful in our math classes.
And this includes remembering that teaching and learning have some recurring patterns when done successfully: teacher modeling, student exploration, student individual practice, formative assessment, feedback. These are things that exist in every successful math class I’ve seen. (Depending on teacher philosophy, the order of the steps might not be the same in every classroom, but the steps are all still there.)
Very few teachers will tell you that you can skip that teaching-and-learning process for the math content.
Many more will skip that teaching-and-learning process with the “softer” parts of their curriculum.
Perhaps, I should back up and discuss how I see “curriculum”. From the teacher perspective, curriculum includes both the “what” of the learning, but also the “how”. And if a math teacher has students whose math experience looks like this…
… as is increasingly becoming the case, then the curriculum probably includes three fairly broad categories.
Math Content: This would include the primary learning targets for the course, but also the prerequisite math knowledge that the students need to advance successfully to the new content.
Learning Tools: Depending on the class this might include a couple of devices (calculators, iOS devices, laptops, Chromebooks) and any other manipulatives (Alge-blocks, patty paper, compasses, protractors, etc.). If the learning will require the use of these tools, then the learning of these tools is every bit as much a learning objective as the math content.
Classroom Procedures: Where will the schedule be posted? Where will handouts be made available? How does a student turn in assignments? Where should a student look when he/she has been absent? What does a student do when they are trying to work at home and find themselves paralyzed by confusion?
If a student struggles to learn well the content in any of those three areas, that student will start riding the struggle bus pretty quickly. The first step to avoid this is to recognize that we are going to have to actively teach all of the things students need to know to be successful in our class. How many of us run a formative assessment where the learning target of the assessment is “Students will be able to use a compass”? How many of us give feedback on the learning target “students will know how to create table with ordered pairs on Desmos”?
Remember, we don’t teach math. We teach children to learn math. And that requires us math teachers to remember that there’s actually a lot more than math knowledge that students will need to be successful in our classes.