3 Ways to Authentically Engage Your Students(How to win over your mathematics class) If we want to ‘win over our maths class’, then we need students to be engaged and enjoying mathematics, not disliking it! One guaranteed way to have students dislike maths is to force them to work on ‘maths’ that they don’t understand ... Read more ... |
Sobering Lessons From Observing Teachers TeachA teacher becomes a student for two days. This is what she discovers! ‘Traditional teaching is designed for the teacher, not the students.’ Read more ... |
7 Indicators That Your Students AreAuthentically Engaged When it comes to implementing approaches to teaching, student engagement is rarely given the status it deserves, possibly because it is often confused with ‘the entertainment of students via games and jovial dispositions of the teacher’. Read more ... |

Conceptual Approaches To Teaching and Learning Mathematics Need To Be Student-Centered (Part 1) Why student-centred approaches pose a major problem to high school teachers! (Part 1 in a 3-part series.) "Students need direct instruction" is a common cry from opponents of student-centered learning. In my view this cry is not entirely wrong ... Read more ... |
Catering For Student Spread Within The Mathematics Classroom (Part 2)A common misconception held by those unfamiliar with an effective student-centred approach, is that in a student-centred approach, the teacher does not utilise segments of direct instruction ... Read more ... |
Let’s Encourage Student Spread In Mathematics Units (Part 3)Engagement, in my view, should always precede 'curriculum' because, without engagement, teaching the curriculum is essentially a waste of time. The first task for any teacher with a new class should be to ... Read more ... |

Investigating The Calculus Sequence With GeoGebraBelow is a re-post of an article by Cathy Tomlinson. What I find powerful throughout her article is the strong push to have students inquire, explore ... This approach goes well beyond the plug-in-the-data-projector-and-show-the-file method Read more ... |
Exploring Pi With GeoGebra Let’s consider one powerful, yet simple, application of GeoGebra, namely to highlight the relationships between pi and the circle ... All this is a great deal of fun – very engaging for students and very much about exploring ... Read more ... |

The Flipped Mastery Classroom ExplainedPart 1 in a 3-part series Flipping classrooms has been a “21st Century Learning” fashion for some time. In this article, we will look at the original and common understanding of a flipped classroom. Then, we will unpack a less common, arguably superior model ... Read more ... |
Flipping A Classroom:Part 2 of 3Some Advantages And Cautions Embarking on a path to flip a classroom using either model is no guarantee of success. Mind you, remaining with a traditional teacher-directed approach is no guarantee of success either! How we interpret success is critical ... Read more ... |
Video Examples Of Flipped UnitsPart 3 in a 3-part series Adopting a flipped approach – especially a flipped mastery approach - brings many associated advantages. Learning to flip a classroom, however, is a significant undertaking due to the vast number of considerations and ... Read more ... |

There is a growing trend in mathematics education to deliver instructional maths content – information that traditionally has been delivered via lecture format – using videos. This article will explore some of the aspects and advantages ... Read more ...

Conceptual vs procedural approaches to maths teaching - Part 1Colin: In a recent article you quoted a definition for conceptual teaching ... but your reaction was that definitions like this one are a poor representation of the ‘experience’ of actually making the conceptual connections. Why is that? Can you elaborate? ... Read more ... |
Conceptual vs procedural approaches to maths teaching - Part 2Richard: And so a conceptual approach is not void of having students memorise facts, routines and procedures, of having them know their tables ... but we don't want kids who can ONLY follow routines and who don't really understand the Maths. And that's where I refer to the ‘Memory Game’ ... Read more ... |

Student engagement is critical to learning success Colin Klupiec chats with Richard Andrew Without student engagement is there any point in trying to teach anything? This is a valid question. Do students actually learn anything of note if they are not engaged in the process? Does anyone? I certainly don't. In this interview-article, Colin and I cover some issues relevant to student engagement and learning ... Read more ... |
Achieve better student engagement and learningColin Klupiec chats with Richard Andrew Colin: The discussions that we have had in the past seem to suggest that if you have students who are more engaged, then they will want to be more at the centre of their learning ... there are clever ways to get concepts across which are more effective than just drilling and rote-learning ... Read more ... |

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PD & CoursesUnderstanding & Agency in Mathematics- Agency: Empowering Maths Students
- Conceptual Coordinate Geometry
- Workshopping Concept-specific OEQs
- Teaching Equations Epically
- Understanding-1st: Right-angled Trig
Teaching with GeoGebra (Proficiently) Dept-wide Mathematics PD Early-career Teachers Course |