Define then discuss - Revision history

Vipul at 23:42, 3 December 2023

2023-12-03T23:42:58Z

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	{{~~learning~~ technique}}		{{exposition technique}}

	==Definition==		==Definition==

Vipul at 03:12, 24 September 2021

2021-09-24T03:12:26Z

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			{{learning technique}}

	==Definition==		==Definition==

Vipul: /* Advantages */

2021-09-23T03:22:18Z

Advantages

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	* Having a definition to fall back to gives learners a bare minimum they can always rely upon. For an approach that does not begin with a definition, learners may be more easily disoriented, and there's a greater chance that they may take away nothing from the learning session.		* Having a definition to fall back to gives learners a bare minimum they can always rely upon. For an approach that does not begin with a definition, learners may be more easily disoriented, and there's a greater chance that they may take away nothing from the learning session.
	* Constructing examples or deducing behavior and attributes based on a purely formal definition draws on the learner's background knowledge and also helps practice the retrieval of that knowledge, this allowing for [[~~spaced repetition~~]] and [[overlearning]] of past knowledge.		* Constructing examples or deducing behavior and attributes based on a purely formal definition draws on the learner's background knowledge and also helps practice the retrieval of that knowledge, this allowing for [[active recall]] and [[overlearning]] of past knowledge.
	* The approach is often more efficient time-wise than alternative approaches such as [[examples first]], even though the latter may engender a deeper understanding of some aspects of the definition. In some cases, time constraints favor this approach.		* The approach is often more efficient time-wise than alternative approaches such as [[examples first]], even though the latter may engender a deeper understanding of some aspects of the definition. In some cases, time constraints favor this approach.

Vipul: /* Alternatives */

2021-09-23T03:15:30Z

Alternatives

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 * Significance or importance
 * Properties, attributes, or behavior prediction
 ==Alternatives==

Vipul: /* Alternatives */

2021-09-23T02:46:58Z

Alternatives

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	==Alternatives==		==Alternatives==

	[[Examples first]] is an alternative that begins with a discussion of examples, then abstracts from the examples to construct the definition.		* [[Examples first]] is an alternative that begins with a discussion of examples, then abstracts from the examples to construct the definition.

	==Advantages==		==Advantages==

Issa Rice at 20:15, 8 January 2019

2019-01-08T20:15:00Z

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	Note that any comparative analysis would also consider whether the alternate methods work well in the context. Some definitions may be fertile for exploration, but the [[examples first]] approach may also be very promising. In contrast, some definitions may be extremely opaque regardless of the approach we use.		Note that any comparative analysis would also consider whether the alternate methods work well in the context. Some definitions may be fertile for exploration, but the [[examples first]] approach may also be very promising. In contrast, some definitions may be extremely opaque regardless of the approach we use.

			[[Category:Mathematics]]

Vipul: /* Advantages */

2013-12-28T21:47:38Z

Advantages

← Older revision		Revision as of 21:47, 28 December 2013
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	* Having a definition to fall back to gives learners a bare minimum they can always rely upon. For an approach that does not begin with a definition, learners may be more easily disoriented, and there's a greater chance that they may take away nothing from the learning session.		* Having a definition to fall back to gives learners a bare minimum they can always rely upon. For an approach that does not begin with a definition, learners may be more easily disoriented, and there's a greater chance that they may take away nothing from the learning session.
	* Constructing examples or deducing behavior and attributes based on a purely formal definition draws on the learner's background knowledge and also helps practice the retrieval of that knowledge, this allowing for [[spaced repetition]] and [[overlearning]] of past knowledge.		* Constructing examples or deducing behavior and attributes based on a purely formal definition draws on the learner's background knowledge and also helps practice the retrieval of that knowledge, this allowing for [[spaced repetition]] and [[overlearning]] of past knowledge.
	* The approach is often more efficient time-wise than alternative approaches such as ~~the~~ [[examples first]], even though the latter may engender a deeper understanding of some aspects of the definition. In some cases, time constraints favor this approach.		* The approach is often more efficient time-wise than alternative approaches such as [[examples first]], even though the latter may engender a deeper understanding of some aspects of the definition. In some cases, time constraints favor this approach.

	==Disadvantages==		==Disadvantages==

Vipul at 21:46, 28 December 2013

2013-12-28T21:46:53Z

← Older revision		Revision as of 21:46, 28 December 2013
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	==Definition==		==Definition==

	'''Define then discuss''' is a (controversial, but generally followed in practice) pedagogical principle where, when a new idea is introduced, the relevant term (called the ''definiendum'') ~~are~~ first defined as precisely as possible or necessary, and ''then'' ~~their~~ significance is discussed. The "discussion" could be carried out interactively, using the formally presented definition as the starting point for exploration.		'''Define then discuss''' is a (controversial, but generally followed in practice) pedagogical principle where, when a new idea is introduced, the relevant term (called the ''definiendum'') is first defined as precisely as possible or necessary, and ''then'' its significance is discussed. The "discussion" could be carried out interactively, using the formally presented definition as the starting point for exploration.

	The ''discuss'' could include discussion of:		The ''discuss'' could include discussion of:

Vipul: /* Criteria for deciding whether to use "define then discuss" or alternate methods */

2013-12-28T20:20:38Z

Criteria for deciding whether to use "define then discuss" or alternate methods

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	* '''Consider time constraints''': "Define then discuss" works well in case of limited time, or in case of uncertainty over the amount of time available. Note that examples can be added and explored later if more time becomes available.		* '''Consider time constraints''': "Define then discuss" works well in case of limited time, or in case of uncertainty over the amount of time available. Note that examples can be added and explored later if more time becomes available.
	* '''Consider the extent to which the definition provides a ''hook'' for further exploration''': In cases where the definition provides ''some'' way of facilitating further exploration, this approach works well. In cases where the definition is very difficult to meaningfully work with for exploration, this approach works badly.		* '''Consider the extent to which the definition provides a ''hook'' for further exploration''': In cases where the definition provides ''some'' way of facilitating further exploration, this approach works well. In cases where the definition is very difficult to meaningfully work with for exploration, this approach works badly.
			* '''Consider the extent to which the discussion phase of "define then discuss" will reinforce long-term retention of the definition''': The more the act of working through examples or deducing attributes requires one to master the definition, the better.
	* '''Consider the extent to which the discussion phase of "define then discuss" will reinforce past learning''': The more that the act of constructing examples or deducing attributes helps reinforce past knowledge or skills that need to be acquired and honed anyway, the better this approach works.		* '''Consider the extent to which the discussion phase of "define then discuss" will reinforce past learning''': The more that the act of constructing examples or deducing attributes helps reinforce past knowledge or skills that need to be acquired and honed anyway, the better this approach works.

	Note that any comparative analysis would also consider whether the alternate methods work well in the context. Some definitions may be fertile for exploration, but the [[examples first]] approach may also be very promising. In contrast, some definitions may be extremely opaque regardless of the approach we use.		Note that any comparative analysis would also consider whether the alternate methods work well in the context. Some definitions may be fertile for exploration, but the [[examples first]] approach may also be very promising. In contrast, some definitions may be extremely opaque regardless of the approach we use.

Vipul: /* Advantages */

2013-12-28T20:18:23Z

Advantages

← Older revision		Revision as of 20:18, 28 December 2013
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	==Advantages==		==Advantages==

	"Define then discuss" works best in ~~scenario~~ where knowledge of the definition, along with the background knowledge that the learner already possesses, provides the learner with ''some tool'' to think about the definiendum, even if this is purely at the formal or superficial level. The tool that the definition provides can be used as a hook for the next step of discussion. The ideal situation is where the entire discussion could be carried out ''in principle'' by the learner by himself or herself, even though most learners in practice may not be able to persevere that hard.		"Define then discuss" works best in scenarios where knowledge of the definition, along with the background knowledge that the learner already possesses, provides the learner with ''some tool'' to think about the definiendum, even if this is purely at the formal or superficial level. The tool that the definition provides can be used as a hook for the next step of discussion. The ideal situation is where the entire discussion could be carried out ''in principle'' by the learner by himself or herself, even though most learners in practice may not be able to persevere that hard.

	Some advantages of the approach are:		Some advantages of the approach are: