The Common Core State Standards for Mathematics provide teachers with guidance on how to promote mathematical practices that emphasize reasoning and justification through problem solving and that encourage an exploration of viable strategies, through mathematical modeling and facilitating communication in the classroom, to critique

mathematical arguments (National Governors Association, 2010).

he noted the size of the shadow cast by Earth on the Moon and, following a correct line of

mathematical argument, estimated that the Moon was a body with a diameter one-third that of the Earth.

The reason is that in examining a

mathematical argument, the symbols are divorced from any meaning, and we examine only the formal correctness of the mathematics.

Evolution by the numbers; the origins of

mathematical argument in biology.

Furthermore, the materials helped his group to see the problem clearly and they developed their

mathematical argument in a strategic and organised manner.

75--Students follow a formal

mathematical argument of several steps presented by the teacher, such as Pythagoras' theorem.

Those still developing confidence in the logic of

mathematical argument will use numbers to try to prove that [(a + b).

We must commit to conjecture and prove or disprove said conjecture; we must do in order to learn; through real inquiry learning is achieved, and hence this paper proposes an archetype of mathematical pedagogy such that the experience of doing a

mathematical argument is the reason enough for an exercise and inquiry-based learning (IBL) enacted via a modified Moore method (MMM) is an authentic way to actualise a learning environment where the content studied is the centre of the experience.

approaches coalescent theory primarily from the biological end, and assumes most readers are biologists, but gives full due to the

mathematical argument without losing non-experts.

Sarkar concludes that ID's

mathematical argument is irrelevant unless ID advocates can both quantify the various probability claims and establish a measurable definition of design.