Dear Thomas,

There are several possible approaches. If your want to measure it from the learning outcomes, one method, that should be suitable for any teaching method, is described in the following articles which you can find on my RG page.

Article Different aspects of the monotonicity of a function

Article ON MATHEMATICS STUDENTS' UNDERSTANDING OF THE EQUATION CONCEPT

Article Student teachers’ concept definitions of area and their unde...

Hopefully they are useful for you.

Best regards,

Timo

Hi

Baroody, A. J., Clements, D. H., & Sarama, J. (2019). Teaching and learning mathematics in early childhood programs. The Wiley Handbook of Early Childhood Care and Education, 329.

Furinghetti, F. (2019). History and epistemology in mathematics education. International Journal of Mathematical Education in Science and Technology, 1-28.

Kenedi, A. K., Helsa, Y., Ariani, Y., Zainil, M., & Hendri, S. (2019). Mathematical Connection of Elementary School Students to Solve Mathematical Problems. Journal on Mathematics Education, 10(1), 69-80.

Best regards

Ingrid

thank you Mr. Timo and Mr.Ingrid

I am greatful

My advice would be to think very carefully about what you mean by "effective" and how you might "measure" this.

A particluar issue that you are likely to need to be clear about is the extent to which you can "measure" the "effective of a method used to teach" or the "effective" of the teacher who is doing the teaching. In other words, to what extent are you able to distiguish the effect of the "method" from the effect of the teacher.

Thanks Mr. Jones

the focus is going to be the effect of the method but not the teacher. the same teacher (teacher - researcher) would implement the method. Must I compare that method with another method or a conventional method. this is my confusing

Even with the same teacher, the person is likely to be differently "effective" with different teaching methods. That is why I suggested the need to be clear about the extent to which you can "measure" the "effective of a method used to teach" or the "effective" of the teacher who is doing the teaching. What you "compare" is also something to think very carefully about.