1. mateola — de Vaan
mateola 'wooden hammer' [f. a] (Cato) Pit *mateja-. PIE *mot-(i-?) 'club, hoe'. IE cognates: Skt matya- 'club, harrow, roller', mati-kar me to harrow, level the earth', OCS motyka3 Ru. motyga 'hoe\ OHG medela 'plough'. Diminutive of a noun *matea 'hoe' vel sim., which could be from pre-Italic *mo/-. This noun might be derived from PIE *me/- 'to measure' > 'throw / reap', which is attested in the verb meto. Since … — [de Vaan, s.v. mateola, p. 380]
2. matĕŏla — Lewis & Short
matĕŏla, ae, f., perh.
I a kind of mallet or beetle: si (talea) parum descendet, malleolo aut mateola adigito,
Cato, R. R. 45, 2; 46, 2 (also ap. Plin. 17, 18, 29, § 126).
3. mateola — Walde–Hofmann
mateola, -ae f. „Werkzeug zum Einschlagen in die Erde* (Cato, rom. [-t- , Ramme"], ebenso *mattea, *matteüca „Keule“ [vgl. unten], s. Bugge BB. 14, 57, Meyer-Lübke n. 5425/6): Demin. eines *matea (s. malleus S. 16; rom. *mattea ist Rückbldg.), zu ai. matyám n. „Egge, Kolben o. dgl.", mati-krtah „geeggt oder gewalzt*, ahd. (Cl) medela „Pflug* (Lehmann ASNS, 119,188), abg. usw. motyka „Hacke“ (Bugge und Bezzenberger … — [Walde–Hofmann, s.v. mateola, p. 955]