## Are tests necessary? Part 5 – Visible learning

If the learning process is visible for students it is proven that this will improve their results, but what is visible learning? The idea of visible learning is to make students take responsibility for their learning by making them realize

## Are tests necessary? Part 4 – Types of Matrices

During last summer when I planned out what I wanted to discuss in this series of “Are tests necessary” this topic was not included, so to me this feels like a small spin-off post. However, in part 1 of this

## Are tests necessary? Part 3 – Digital tests

I am going to start off this post by answering the question whether tests are necessary or not. My answer is yes. Tests are extremely helpful in gathering information about students progress for both the students and the teacher. However,

## Are tests necessary? Part 2 – Grading without tests

Since I am only going to grade my students based entirely on lesson activity, it has to be crystal clear for these students how the grading works. It will also be important for the students to be aware of how

## Are tests necessary? Part 1 – Introduction

According to recent studies, students in Europe do not do as well as they used to and the interest for scientific subjects is low. One example from Finland is that in 2016 there were half an applicant for every degree

## A modernised way to go through examples

After introducing a new topic in mathematics examples are needed to demonstrate how things work, especially in algebra since algebra requires a perfect understanding and there are many details to learn. Traditionally the teacher shows a few examples and discuss

## Discover variables

The normal reaction from students, when being introduced to variables, is asking “why do we need letters? Letters only make things more complicated”. If students have this attitude, it might be difficult to convince them otherwise. One way to get past

## Guide and assess student activity

I think it is safe to say that a synonym for “mathematics” would be “problem solving”. In one form or another you always solve problems whether it is simplifying expressions, solving equations or deriving proofs. When you are solving problems

## Focus on learning and not the grades

There is an obsession with grades in schools today. Not only from students but also from teachers. Many students are given clear instructions on what to accomplish and what tasks to do in order to get a specific grade. If

## Presenting a problem just beyond the scope of students’ knowledge

It is said that a teacher, teaching according to the student-centered model, should be someone  who introduces problems just beyond the scope of students’ knowledge. Students are then to solve these problems, however they find fit, using many different sources.