Routine is defined as explaining the process or work.

Key Features Include:

• Providing descriptive explanation of process or procedures

• Applying routine correctly or not

• Translation of symbols and mathematical work

Common Phrases Include:

• "What I did was..."

• "I did this.. then I....."

Structure is defined as guiding the learner's attention

Key Features Include:

• Directing towards or providing a goal

• Articulating relevant concepts or templates

• Justifying steps

• Using a definition or fact

Common Phrases Include:

• "To do this, I need to..."

• "In order to prove ....

• "By definition of ..., I can use ...."

Reflection is defined as showing the logical progression of the thought process.

Key Features Include:

• Visual Aids

• Providing connections, meaning, or context to prior knowledge

• Proceeding by argument or reasoning rather than by intuition

Common Phrases Include:

• "We know by (something prior)...that we can ...(something new).."

• "After showing all of ....(process), we can conclude..."

Lingo is defined as using terms and vocabulary.

Key Features Include:

• Using particular language when identifying attributes or steps

• Appropriately using specific terms or jargon

Examples of Common Phrases

• "Like terms need to have the same variable and the same degree"

• In order to add fractions, I know we need a common denominator"