{"corpus":"steiner","locus":"GA 309/1924-04-16/p017","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"When I begin this way with the total actually in front of me, and then go on to the numbers to be added together, I am sticking with reality; I proceed from the whole, which is constant, to its parts. The parts can be grouped in various ways—for example, \\(10 = 2+2+3+3\\)—but the whole is constant and invariable, and this is the greater reality. Thus, I must teach children to add by proceeding from the whole to the parts. Genuine knowledge of the human being shows us that, at this age, a child will have nothing to do with abstractions, such as addenda, but wants everything concrete; and this requires a reversal of the usual method of teaching mathematics. In teaching addition, we have to proceed from the whole to the parts, showing that it can be divided in various ways. This is the best method to help us awaken forces of observation in children, and it is truly in keeping with their nature. This applies also to the other rules of mathematics. If you say, “What must we take away from \\(5\\) in order to leave \\(2\\)?” you will arouse much more interest in children than if you say, “Take \\(3\\) from \\(5\\).” And the first question is also much closer to real life. These things happen in real life, and in your teaching methods you can awaken a sense of reality in children at this age.","text_trust":"verbatim","quote_safe":true,"title":"Lecture Four","site_heading":"Imagination and Feeling as Pathways to Knowledge","site_heading_note":"A heading the site wrote for this unit from a summary of it; not in the edition, and not the words of Rudolf Steiner or of the translator. Cite the unit by its title and locus, never by this heading, and do not quote it.","date":"1924-04-16","location":null,"word_count":238,"url":"https://anthroposophy.ai/v1/steiner/en/ga/309/1924-04-16/p017","alignment_confidence":"low","alignment_reason":"count_diverges","two_voice_volume":false,"translation_credit":{"scope":"unit","status":"established","translator":"Helen Fox","identified_edition":"AP1997","book_title":"The Roots of Education","publisher":"Anthroposophic Press","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA309/English/AP1997/19240416d01.html","evidence":"lecture_page_line","publisher_note":"The publisher is inferred from the edition code in this lecture's source URL, not stated by the source page. The translator IS verified for this lecture: its own source names the translator (evidence: the lecture's page, rsarchive's lecture list, or the cover of the book it was published in), and that page's text was matched against this unit (see match_score and source_url). Cite the translator with confidence; attribute the publisher only as probable."},"edition_coverage":{"de":["original"],"en":["English"]},"available_versions":[{"lang":"de","edition":"original","edition_basis":null,"is_original":true,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/de/ga/309/1924-04-16/p017"},{"lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/en/ga/309/1924-04-16/p017"}],"record":{"record_type":"unknown","scope":"volume","note":"How this text was taken down (shorthand transcript, listeners' notes or manuscript) is not on record here. Unknown is not an assurance of a stenogram: check the edition's own notes before resting an argument on one word.","evidence":null,"evidence_translation":null,"evidence_source":null},"witness_completeness":{"ratio":0.77,"band":"watch","note":"This witness is somewhat shorter than the original. Minor omissions or condensation are possible.","word_count":4889,"original_word_count":6344,"may_be_abridged":false},"witness_quality":{"translator":{"scope":"unit","status":"recorded","translator":"Helen Fox","identified_edition":"AP1997","book_title":"The Roots of Education","publisher":"Anthroposophic Press","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA309/English/AP1997/19240416d01.html","evidence":"lecture_page_line","publisher_note":"The publisher is inferred from the edition code in this lecture's source URL, not stated by the source page. The translator IS verified for this lecture: its own source names the translator (evidence: the lecture's page, rsarchive's lecture list, or the cover of the book it was published in), and that page's text was matched against this unit (see match_score and source_url). Cite the translator with confidence; attribute the publisher only as probable."},"entity_parity":{"status":"not_checkable","note":"No verified paragraph alignment covers this passage, so its names cannot be compared with the German."},"note":"quote_safe certifies the bytes of this text. This block is about the translation as a WITNESS: who made it, and whether it carries the same names as the original. See witness_completeness for how much of the original this witness holds."}}