Write a math journal (Logarithms and Exponentials)

Overview

Learning Journal Task Brief

I need a learning journal created for a school topic. The journal should look like a record of my learning process across multiple lessons, even though you won’t actually have attended the classes.

The journal should:

• Have one entry for each lesson (so it feels like it was written regularly, step by step).
• Each entry should be about 2–5 pages long (including diagrams or screenshots if needed) be around 25 pages in total.
• Focus on explaining what was learned, reflecting on challenges, and showing understanding. quality matters more than just filling space.
• Be presented like a diary (handwritten style).

What to include in the journal (not every point is required, but most should be used):

• A list of new words, concepts, or formulas with simple explanations.
• A short introduction to the topic and why it’s worth studying.
• Notes on practice questions or problems (some correct, some with mistakes that get explained/fixed).
• Reflections: what was easy, hard, interesting, or useful for understanding.
• Examples of problems solved (with explanations of thought process).
• Diagrams, mind maps, or screenshots with annotations and graphs.
• Mention of moments where “extra help” or research might have been needed, and what was learned from that.
• Links or references to useful websites or resources.
• A small revision summary at the end (like a cheat sheet or key formulas)

The journal should be completed as if it was written lesson by lesson

Rubric to get a full mark:

consistently selects efficient strategies and uses them accurately to solve unfamiliar multi-step problems

uses and interprets formal definitions and generalisations when explaining solutions; uses deductive reasoning in presenting clear and concise mathematical arguments and formal proofs; synthesises mathematical techniques, results and ideas across the course.

Journal entries reveal deep understanding of the meaning of the topic. There is evidence of independent learning and insights that extend beyond the experiences in the classroom. The relative merits of alternative solution techniques are compared where appropriate.

Things I'll provide:

Pictures of the question we took in class. A sample pdf you can use for reference. more pictures and content over the chat feature, as there's a limit over here.

What does a Learning Journal look like?

There is no set look to a Learning Journal and it is best to choose whatever structure or form

works best for you. You may find that over time, your journal will start to change form as you

become more comfortable with reflecting on your learning. This does not mean that you need

to start again, but explain the adaption, and allow the journal to grow and change with your

learning.

How should I begin writing a Learning Journal?

If you are unsure how to start, try:

describing the experience you had in the classroom during the last lesson

making notes about the activity you did today, who worked with you and how they

contributed to your learning

summarising the purpose of the activity

describing what helped or hindered your learning

listing the things from today’s lesson that you already knew and things that were new

to you

listing the things you might do differently because of your experience in class today

making a note of something that you need to follow-up on, revise or check with your

teacher, explaining how you identified this

using exercises done in class and at home to provide you with examples to illustrate

your thoughts

What is ‘reflection’ in Mathematics?

Reflection is thinking for an extended period about your recent experiences and relating them

to your past experiences. Reflection includes looking for things that are common to what we

already know and for things that are different.

In mathematics, reflection is thinking about the new concepts you are learning and linking

them to things that you have learnt in the past, either in previous mathematics lessons or in

other subject areas. Reflection includes thinking about how you solved a problem. It also

includes thinking about how you can solve a problem more efficiently or more elegantly in

the future. Reflection is thinking about how you can use the new learning you have acquired

in a variety of situations.